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Finding the Fourth Proportional to 1,691.29, 2,536.98 and 580.78

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Solution

The fourth proportional to 1,691.29, 2,536.98 and 580.78 is: 871.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.29 : 2,536.98 = 580.78 : x
  2. Step 2: Convert to fraction form
    1,691.29/2,536.98 = 580.78/x
  3. Step 3: Cross multiply
    1,691.29x = 2,536.98 × 580.78
  4. Step 4: Simplify right side
    1,691.29x = 1,473,427.24
  5. Step 5: Solve for x
    x = 1,473,427.24/1,691.29
  6. Step 6: Final answer
    x = 871.19

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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.