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Finding the Fourth Proportional to 1,595.75, 2,395.44 and 731.88

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Solution

The fourth proportional to 1,595.75, 2,395.44 and 731.88 is: 1,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.75 : 2,395.44 = 731.88 : x
  2. Step 2: Convert to fraction form
    1,595.75/2,395.44 = 731.88/x
  3. Step 3: Cross multiply
    1,595.75x = 2,395.44 × 731.88
  4. Step 4: Simplify right side
    1,595.75x = 1,753,174.63
  5. Step 5: Solve for x
    x = 1,753,174.63/1,595.75
  6. Step 6: Final answer
    x = 1,098.66

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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.