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Finding the Fourth Proportional to 748.68, 1,121.94 and 459.96

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Solution

The fourth proportional to 748.68, 1,121.94 and 459.96 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.68 : 1,121.94 = 459.96 : x
  2. Step 2: Convert to fraction form
    748.68/1,121.94 = 459.96/x
  3. Step 3: Cross multiply
    748.68x = 1,121.94 × 459.96
  4. Step 4: Simplify right side
    748.68x = 516,047.52
  5. Step 5: Solve for x
    x = 516,047.52/748.68
  6. Step 6: Final answer
    x = 689.28

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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.