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Finding the Fourth Proportional to 747, 1,033.17 and 591.18

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Solution

The fourth proportional to 747, 1,033.17 and 591.18 is: 817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    747 : 1,033.17 = 591.18 : x
  2. Step 2: Convert to fraction form
    747/1,033.17 = 591.18/x
  3. Step 3: Cross multiply
    747x = 1,033.17 × 591.18
  4. Step 4: Simplify right side
    747x = 610,789.44
  5. Step 5: Solve for x
    x = 610,789.44/747
  6. Step 6: Final answer
    x = 817.66

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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.