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Finding the Fourth Proportional to 1,263.68, 1,743.76 and 932.29

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Solution

The fourth proportional to 1,263.68, 1,743.76 and 932.29 is: 1,286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.68 : 1,743.76 = 932.29 : x
  2. Step 2: Convert to fraction form
    1,263.68/1,743.76 = 932.29/x
  3. Step 3: Cross multiply
    1,263.68x = 1,743.76 × 932.29
  4. Step 4: Simplify right side
    1,263.68x = 1,625,690.01
  5. Step 5: Solve for x
    x = 1,625,690.01/1,263.68
  6. Step 6: Final answer
    x = 1,286.47

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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.