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Finding the Fourth Proportional to 748.88, 1,124.40 and 459.44

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Solution

The fourth proportional to 748.88, 1,124.40 and 459.44 is: 689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.88 : 1,124.40 = 459.44 : x
  2. Step 2: Convert to fraction form
    748.88/1,124.40 = 459.44/x
  3. Step 3: Cross multiply
    748.88x = 1,124.40 × 459.44
  4. Step 4: Simplify right side
    748.88x = 516,594.34
  5. Step 5: Solve for x
    x = 516,594.34/748.88
  6. Step 6: Final answer
    x = 689.82

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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.