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Finding the Fourth Proportional to 1,337.87, 2,006.72 and 793.51

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Solution

The fourth proportional to 1,337.87, 2,006.72 and 793.51 is: 1,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.87 : 2,006.72 = 793.51 : x
  2. Step 2: Convert to fraction form
    1,337.87/2,006.72 = 793.51/x
  3. Step 3: Cross multiply
    1,337.87x = 2,006.72 × 793.51
  4. Step 4: Simplify right side
    1,337.87x = 1,592,353.66
  5. Step 5: Solve for x
    x = 1,592,353.66/1,337.87
  6. Step 6: Final answer
    x = 1,190.22

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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.