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Finding the Fourth Proportional to 1,239.22, 1,857.62 and 691.87

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Solution

The fourth proportional to 1,239.22, 1,857.62 and 691.87 is: 1,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.22 : 1,857.62 = 691.87 : x
  2. Step 2: Convert to fraction form
    1,239.22/1,857.62 = 691.87/x
  3. Step 3: Cross multiply
    1,239.22x = 1,857.62 × 691.87
  4. Step 4: Simplify right side
    1,239.22x = 1,285,218.80
  5. Step 5: Solve for x
    x = 1,285,218.80/1,239.22
  6. Step 6: Final answer
    x = 1,037.12

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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.