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Finding the Fourth Proportional to 1,337.32, 1,845.31 and 747.84

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Solution

The fourth proportional to 1,337.32, 1,845.31 and 747.84 is: 1,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.32 : 1,845.31 = 747.84 : x
  2. Step 2: Convert to fraction form
    1,337.32/1,845.31 = 747.84/x
  3. Step 3: Cross multiply
    1,337.32x = 1,845.31 × 747.84
  4. Step 4: Simplify right side
    1,337.32x = 1,379,996.63
  5. Step 5: Solve for x
    x = 1,379,996.63/1,337.32
  6. Step 6: Final answer
    x = 1,031.91

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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.