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Finding the Fourth Proportional to 732.85, 1,098.36 and 578.17

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Solution

The fourth proportional to 732.85, 1,098.36 and 578.17 is: 866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.85 : 1,098.36 = 578.17 : x
  2. Step 2: Convert to fraction form
    732.85/1,098.36 = 578.17/x
  3. Step 3: Cross multiply
    732.85x = 1,098.36 × 578.17
  4. Step 4: Simplify right side
    732.85x = 635,038.80
  5. Step 5: Solve for x
    x = 635,038.80/732.85
  6. Step 6: Final answer
    x = 866.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.