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Finding the Fourth Proportional to 1,215.41, 1,677.13 and 684.19

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Solution

The fourth proportional to 1,215.41, 1,677.13 and 684.19 is: 944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.41 : 1,677.13 = 684.19 : x
  2. Step 2: Convert to fraction form
    1,215.41/1,677.13 = 684.19/x
  3. Step 3: Cross multiply
    1,215.41x = 1,677.13 × 684.19
  4. Step 4: Simplify right side
    1,215.41x = 1,147,475.57
  5. Step 5: Solve for x
    x = 1,147,475.57/1,215.41
  6. Step 6: Final answer
    x = 944.11

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.