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Finding the Fourth Proportional to 750.72, 1,132.23 and 742.53

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Solution

The fourth proportional to 750.72, 1,132.23 and 742.53 is: 1,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.72 : 1,132.23 = 742.53 : x
  2. Step 2: Convert to fraction form
    750.72/1,132.23 = 742.53/x
  3. Step 3: Cross multiply
    750.72x = 1,132.23 × 742.53
  4. Step 4: Simplify right side
    750.72x = 840,714.74
  5. Step 5: Solve for x
    x = 840,714.74/750.72
  6. Step 6: Final answer
    x = 1,119.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.