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Finding the Fourth Proportional to 1,337.12, 2,005.80 and 688.31

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Solution

The fourth proportional to 1,337.12, 2,005.80 and 688.31 is: 1,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.12 : 2,005.80 = 688.31 : x
  2. Step 2: Convert to fraction form
    1,337.12/2,005.80 = 688.31/x
  3. Step 3: Cross multiply
    1,337.12x = 2,005.80 × 688.31
  4. Step 4: Simplify right side
    1,337.12x = 1,380,612.20
  5. Step 5: Solve for x
    x = 1,380,612.20/1,337.12
  6. Step 6: Final answer
    x = 1,032.53

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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.