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Finding the Fourth Proportional to 729.59, 1,006.70 and 430.92

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Solution

The fourth proportional to 729.59, 1,006.70 and 430.92 is: 594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.59 : 1,006.70 = 430.92 : x
  2. Step 2: Convert to fraction form
    729.59/1,006.70 = 430.92/x
  3. Step 3: Cross multiply
    729.59x = 1,006.70 × 430.92
  4. Step 4: Simplify right side
    729.59x = 433,805.01
  5. Step 5: Solve for x
    x = 433,805.01/729.59
  6. Step 6: Final answer
    x = 594.59

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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.