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Finding the Fourth Proportional to 1,248.77, 1,723.40 and 689.29

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Solution

The fourth proportional to 1,248.77, 1,723.40 and 689.29 is: 951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.77 : 1,723.40 = 689.29 : x
  2. Step 2: Convert to fraction form
    1,248.77/1,723.40 = 689.29/x
  3. Step 3: Cross multiply
    1,248.77x = 1,723.40 × 689.29
  4. Step 4: Simplify right side
    1,248.77x = 1,187,919.80
  5. Step 5: Solve for x
    x = 1,187,919.80/1,248.77
  6. Step 6: Final answer
    x = 951.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.