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Finding the Fourth Proportional to 748.67, 1,032.16 and 524.30

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Solution

The fourth proportional to 748.67, 1,032.16 and 524.30 is: 722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.67 : 1,032.16 = 524.30 : x
  2. Step 2: Convert to fraction form
    748.67/1,032.16 = 524.30/x
  3. Step 3: Cross multiply
    748.67x = 1,032.16 × 524.30
  4. Step 4: Simplify right side
    748.67x = 541,163.73
  5. Step 5: Solve for x
    x = 541,163.73/748.67
  6. Step 6: Final answer
    x = 722.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.