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Finding the Fourth Proportional to 748.16, 1,032.44 and 416.57

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Solution

The fourth proportional to 748.16, 1,032.44 and 416.57 is: 574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.16 : 1,032.44 = 416.57 : x
  2. Step 2: Convert to fraction form
    748.16/1,032.44 = 416.57/x
  3. Step 3: Cross multiply
    748.16x = 1,032.44 × 416.57
  4. Step 4: Simplify right side
    748.16x = 430,083.53
  5. Step 5: Solve for x
    x = 430,083.53/748.16
  6. Step 6: Final answer
    x = 574.86

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Why These Related Problems?

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