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Finding the Fourth Proportional to 748.02, 1,032.27 and 416.49

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Solution

The fourth proportional to 748.02, 1,032.27 and 416.49 is: 574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.02 : 1,032.27 = 416.49 : x
  2. Step 2: Convert to fraction form
    748.02/1,032.27 = 416.49/x
  3. Step 3: Cross multiply
    748.02x = 1,032.27 × 416.49
  4. Step 4: Simplify right side
    748.02x = 429,930.13
  5. Step 5: Solve for x
    x = 429,930.13/748.02
  6. Step 6: Final answer
    x = 574.76

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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.