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Finding the Fourth Proportional to 1,137.53, 1,703.77 and 725.65

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Solution

The fourth proportional to 1,137.53, 1,703.77 and 725.65 is: 1,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.53 : 1,703.77 = 725.65 : x
  2. Step 2: Convert to fraction form
    1,137.53/1,703.77 = 725.65/x
  3. Step 3: Cross multiply
    1,137.53x = 1,703.77 × 725.65
  4. Step 4: Simplify right side
    1,137.53x = 1,236,340.70
  5. Step 5: Solve for x
    x = 1,236,340.70/1,137.53
  6. Step 6: Final answer
    x = 1,086.86

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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.