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Finding the Fourth Proportional to 1,023.24, 1,532.62 and 748.72

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Solution

The fourth proportional to 1,023.24, 1,532.62 and 748.72 is: 1,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.24 : 1,532.62 = 748.72 : x
  2. Step 2: Convert to fraction form
    1,023.24/1,532.62 = 748.72/x
  3. Step 3: Cross multiply
    1,023.24x = 1,532.62 × 748.72
  4. Step 4: Simplify right side
    1,023.24x = 1,147,503.25
  5. Step 5: Solve for x
    x = 1,147,503.25/1,023.24
  6. Step 6: Final answer
    x = 1,121.44

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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.