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Finding the Fourth Proportional to 748.71, 1,122.48 and 459.54

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Solution

The fourth proportional to 748.71, 1,122.48 and 459.54 is: 688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.71 : 1,122.48 = 459.54 : x
  2. Step 2: Convert to fraction form
    748.71/1,122.48 = 459.54/x
  3. Step 3: Cross multiply
    748.71x = 1,122.48 × 459.54
  4. Step 4: Simplify right side
    748.71x = 515,824.46
  5. Step 5: Solve for x
    x = 515,824.46/748.71
  6. Step 6: Final answer
    x = 688.95

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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.