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Finding the Fourth Proportional to 732.03, 1,096.77 and 500.17

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Solution

The fourth proportional to 732.03, 1,096.77 and 500.17 is: 749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.03 : 1,096.77 = 500.17 : x
  2. Step 2: Convert to fraction form
    732.03/1,096.77 = 500.17/x
  3. Step 3: Cross multiply
    732.03x = 1,096.77 × 500.17
  4. Step 4: Simplify right side
    732.03x = 548,571.45
  5. Step 5: Solve for x
    x = 548,571.45/732.03
  6. Step 6: Final answer
    x = 749.38

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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.