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Finding the Fourth Proportional to 969.08, 1,337.84 and 747.52

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Solution

The fourth proportional to 969.08, 1,337.84 and 747.52 is: 1,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.08 : 1,337.84 = 747.52 : x
  2. Step 2: Convert to fraction form
    969.08/1,337.84 = 747.52/x
  3. Step 3: Cross multiply
    969.08x = 1,337.84 × 747.52
  4. Step 4: Simplify right side
    969.08x = 1,000,062.16
  5. Step 5: Solve for x
    x = 1,000,062.16/969.08
  6. Step 6: Final answer
    x = 1,031.97

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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.