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Finding the Fourth Proportional to 1,337.32, 2,006.73 and 721.01

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Solution

The fourth proportional to 1,337.32, 2,006.73 and 721.01 is: 1,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.32 : 2,006.73 = 721.01 : x
  2. Step 2: Convert to fraction form
    1,337.32/2,006.73 = 721.01/x
  3. Step 3: Cross multiply
    1,337.32x = 2,006.73 × 721.01
  4. Step 4: Simplify right side
    1,337.32x = 1,446,872.40
  5. Step 5: Solve for x
    x = 1,446,872.40/1,337.32
  6. Step 6: Final answer
    x = 1,081.92

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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.