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Finding the Fourth Proportional to 748.80, 1,033.28 and 417.20

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Solution

The fourth proportional to 748.80, 1,033.28 and 417.20 is: 575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.80 : 1,033.28 = 417.20 : x
  2. Step 2: Convert to fraction form
    748.80/1,033.28 = 417.20/x
  3. Step 3: Cross multiply
    748.80x = 1,033.28 × 417.20
  4. Step 4: Simplify right side
    748.80x = 431,084.42
  5. Step 5: Solve for x
    x = 431,084.42/748.80
  6. Step 6: Final answer
    x = 575.70

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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.