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Finding the Fourth Proportional to 1,031.32, 1,546.68 and 337.96

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Solution

The fourth proportional to 1,031.32, 1,546.68 and 337.96 is: 506.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.32 : 1,546.68 = 337.96 : x
  2. Step 2: Convert to fraction form
    1,031.32/1,546.68 = 337.96/x
  3. Step 3: Cross multiply
    1,031.32x = 1,546.68 × 337.96
  4. Step 4: Simplify right side
    1,031.32x = 522,715.97
  5. Step 5: Solve for x
    x = 522,715.97/1,031.32
  6. Step 6: Final answer
    x = 506.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.