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Finding the Fourth Proportional to 729.14, 1,006.62 and 560.78

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Solution

The fourth proportional to 729.14, 1,006.62 and 560.78 is: 774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.14 : 1,006.62 = 560.78 : x
  2. Step 2: Convert to fraction form
    729.14/1,006.62 = 560.78/x
  3. Step 3: Cross multiply
    729.14x = 1,006.62 × 560.78
  4. Step 4: Simplify right side
    729.14x = 564,492.36
  5. Step 5: Solve for x
    x = 564,492.36/729.14
  6. Step 6: Final answer
    x = 774.19

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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.