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Finding the Fourth Proportional to 1,763.74, 2,645.61 and 724.31

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Solution

The fourth proportional to 1,763.74, 2,645.61 and 724.31 is: 1,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.74 : 2,645.61 = 724.31 : x
  2. Step 2: Convert to fraction form
    1,763.74/2,645.61 = 724.31/x
  3. Step 3: Cross multiply
    1,763.74x = 2,645.61 × 724.31
  4. Step 4: Simplify right side
    1,763.74x = 1,916,241.78
  5. Step 5: Solve for x
    x = 1,916,241.78/1,763.74
  6. Step 6: Final answer
    x = 1,086.47

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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.