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Finding the Fourth Proportional to 729.57, 1,006.82 and 430.79

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Solution

The fourth proportional to 729.57, 1,006.82 and 430.79 is: 594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.57 : 1,006.82 = 430.79 : x
  2. Step 2: Convert to fraction form
    729.57/1,006.82 = 430.79/x
  3. Step 3: Cross multiply
    729.57x = 1,006.82 × 430.79
  4. Step 4: Simplify right side
    729.57x = 433,730.30
  5. Step 5: Solve for x
    x = 433,730.30/729.57
  6. Step 6: Final answer
    x = 594.50

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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.