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Finding the Fourth Proportional to 748.26, 1,120.23 and 458.82

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Solution

The fourth proportional to 748.26, 1,120.23 and 458.82 is: 686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.26 : 1,120.23 = 458.82 : x
  2. Step 2: Convert to fraction form
    748.26/1,120.23 = 458.82/x
  3. Step 3: Cross multiply
    748.26x = 1,120.23 × 458.82
  4. Step 4: Simplify right side
    748.26x = 513,983.93
  5. Step 5: Solve for x
    x = 513,983.93/748.26
  6. Step 6: Final answer
    x = 686.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.