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Finding the Fourth Proportional to 729.14, 1,006.12 and 434.48

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Solution

The fourth proportional to 729.14, 1,006.12 and 434.48 is: 599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.14 : 1,006.12 = 434.48 : x
  2. Step 2: Convert to fraction form
    729.14/1,006.12 = 434.48/x
  3. Step 3: Cross multiply
    729.14x = 1,006.12 × 434.48
  4. Step 4: Simplify right side
    729.14x = 437,139.02
  5. Step 5: Solve for x
    x = 437,139.02/729.14
  6. Step 6: Final answer
    x = 599.53

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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.