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Finding the Fourth Proportional to 1,248.74, 1,723.22 and 689.19

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Solution

The fourth proportional to 1,248.74, 1,723.22 and 689.19 is: 951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.74 : 1,723.22 = 689.19 : x
  2. Step 2: Convert to fraction form
    1,248.74/1,723.22 = 689.19/x
  3. Step 3: Cross multiply
    1,248.74x = 1,723.22 × 689.19
  4. Step 4: Simplify right side
    1,248.74x = 1,187,634.19
  5. Step 5: Solve for x
    x = 1,187,634.19/1,248.74
  6. Step 6: Final answer
    x = 951.07

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Why These Related Problems?

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