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Finding the Fourth Proportional to 748.23, 1,032.42 and 416.62

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Solution

The fourth proportional to 748.23, 1,032.42 and 416.62 is: 574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.23 : 1,032.42 = 416.62 : x
  2. Step 2: Convert to fraction form
    748.23/1,032.42 = 416.62/x
  3. Step 3: Cross multiply
    748.23x = 1,032.42 × 416.62
  4. Step 4: Simplify right side
    748.23x = 430,126.82
  5. Step 5: Solve for x
    x = 430,126.82/748.23
  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.