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Finding the Fourth Proportional to 1,143.41, 1,715.11 and 412.98

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Solution

The fourth proportional to 1,143.41, 1,715.11 and 412.98 is: 619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.41 : 1,715.11 = 412.98 : x
  2. Step 2: Convert to fraction form
    1,143.41/1,715.11 = 412.98/x
  3. Step 3: Cross multiply
    1,143.41x = 1,715.11 × 412.98
  4. Step 4: Simplify right side
    1,143.41x = 708,306.13
  5. Step 5: Solve for x
    x = 708,306.13/1,143.41
  6. Step 6: Final answer
    x = 619.47

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.