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Finding the Fourth Proportional to 1,146.49, 1,720.42 and 416.12

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Solution

The fourth proportional to 1,146.49, 1,720.42 and 416.12 is: 624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.49 : 1,720.42 = 416.12 : x
  2. Step 2: Convert to fraction form
    1,146.49/1,720.42 = 416.12/x
  3. Step 3: Cross multiply
    1,146.49x = 1,720.42 × 416.12
  4. Step 4: Simplify right side
    1,146.49x = 715,903.91
  5. Step 5: Solve for x
    x = 715,903.91/1,146.49
  6. Step 6: Final answer
    x = 624.43

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Double scale
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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.