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Finding the Fourth Proportional to 748.27, 1,032.51 and 416.65

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Solution

The fourth proportional to 748.27, 1,032.51 and 416.65 is: 574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.27 : 1,032.51 = 416.65 : x
  2. Step 2: Convert to fraction form
    748.27/1,032.51 = 416.65/x
  3. Step 3: Cross multiply
    748.27x = 1,032.51 × 416.65
  4. Step 4: Simplify right side
    748.27x = 430,188.05
  5. Step 5: Solve for x
    x = 430,188.05/748.27
  6. Step 6: Final answer
    x = 574.91

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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.