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Finding the Fourth Proportional to 754.08, 1,031.48 and 742.80

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Solution

The fourth proportional to 754.08, 1,031.48 and 742.80 is: 1,016.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.08 : 1,031.48 = 742.80 : x
  2. Step 2: Convert to fraction form
    754.08/1,031.48 = 742.80/x
  3. Step 3: Cross multiply
    754.08x = 1,031.48 × 742.80
  4. Step 4: Simplify right side
    754.08x = 766,183.34
  5. Step 5: Solve for x
    x = 766,183.34/754.08
  6. Step 6: Final answer
    x = 1,016.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.