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Finding the Fourth Proportional to 729.96, 1,006.38 and 589.92

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Solution

The fourth proportional to 729.96, 1,006.38 and 589.92 is: 813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.96 : 1,006.38 = 589.92 : x
  2. Step 2: Convert to fraction form
    729.96/1,006.38 = 589.92/x
  3. Step 3: Cross multiply
    729.96x = 1,006.38 × 589.92
  4. Step 4: Simplify right side
    729.96x = 593,683.69
  5. Step 5: Solve for x
    x = 593,683.69/729.96
  6. Step 6: Final answer
    x = 813.31

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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.