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Finding the Fourth Proportional to 1,691.27, 2,536.44 and 595.04

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Solution

The fourth proportional to 1,691.27, 2,536.44 and 595.04 is: 892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.27 : 2,536.44 = 595.04 : x
  2. Step 2: Convert to fraction form
    1,691.27/2,536.44 = 595.04/x
  3. Step 3: Cross multiply
    1,691.27x = 2,536.44 × 595.04
  4. Step 4: Simplify right side
    1,691.27x = 1,509,270.58
  5. Step 5: Solve for x
    x = 1,509,270.58/1,691.27
  6. Step 6: Final answer
    x = 892.39

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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.