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Finding the Fourth Proportional to 754.80, 1,132.56 and 446.82

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Solution

The fourth proportional to 754.80, 1,132.56 and 446.82 is: 670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.80 : 1,132.56 = 446.82 : x
  2. Step 2: Convert to fraction form
    754.80/1,132.56 = 446.82/x
  3. Step 3: Cross multiply
    754.80x = 1,132.56 × 446.82
  4. Step 4: Simplify right side
    754.80x = 506,050.46
  5. Step 5: Solve for x
    x = 506,050.46/754.80
  6. Step 6: Final answer
    x = 670.44

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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.