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Finding the Fourth Proportional to 755.14, 1,132.56 and 494.74

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Solution

The fourth proportional to 755.14, 1,132.56 and 494.74 is: 742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.14 : 1,132.56 = 494.74 : x
  2. Step 2: Convert to fraction form
    755.14/1,132.56 = 494.74/x
  3. Step 3: Cross multiply
    755.14x = 1,132.56 × 494.74
  4. Step 4: Simplify right side
    755.14x = 560,322.73
  5. Step 5: Solve for x
    x = 560,322.73/755.14
  6. Step 6: Final answer
    x = 742.01

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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.