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Finding the Fourth Proportional to 969.68, 1,337.03 and 748.15

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Solution

The fourth proportional to 969.68, 1,337.03 and 748.15 is: 1,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.68 : 1,337.03 = 748.15 : x
  2. Step 2: Convert to fraction form
    969.68/1,337.03 = 748.15/x
  3. Step 3: Cross multiply
    969.68x = 1,337.03 × 748.15
  4. Step 4: Simplify right side
    969.68x = 1,000,298.99
  5. Step 5: Solve for x
    x = 1,000,298.99/969.68
  6. Step 6: Final answer
    x = 1,031.58

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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.