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Finding the Fourth Proportional to 749.18, 1,031.64 and 732.14

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Solution

The fourth proportional to 749.18, 1,031.64 and 732.14 is: 1,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.18 : 1,031.64 = 732.14 : x
  2. Step 2: Convert to fraction form
    749.18/1,031.64 = 732.14/x
  3. Step 3: Cross multiply
    749.18x = 1,031.64 × 732.14
  4. Step 4: Simplify right side
    749.18x = 755,304.91
  5. Step 5: Solve for x
    x = 755,304.91/749.18
  6. Step 6: Final answer
    x = 1,008.18

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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.