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Finding the Fourth Proportional to 749.27, 1,031.48 and 562.44

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Solution

The fourth proportional to 749.27, 1,031.48 and 562.44 is: 774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.27 : 1,031.48 = 562.44 : x
  2. Step 2: Convert to fraction form
    749.27/1,031.48 = 562.44/x
  3. Step 3: Cross multiply
    749.27x = 1,031.48 × 562.44
  4. Step 4: Simplify right side
    749.27x = 580,147.02
  5. Step 5: Solve for x
    x = 580,147.02/749.27
  6. Step 6: Final answer
    x = 774.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.