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Finding the Fourth Proportional to 1,286.50, 1,773.64 and 932.93

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Solution

The fourth proportional to 1,286.50, 1,773.64 and 932.93 is: 1,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.50 : 1,773.64 = 932.93 : x
  2. Step 2: Convert to fraction form
    1,286.50/1,773.64 = 932.93/x
  3. Step 3: Cross multiply
    1,286.50x = 1,773.64 × 932.93
  4. Step 4: Simplify right side
    1,286.50x = 1,654,681.97
  5. Step 5: Solve for x
    x = 1,654,681.97/1,286.50
  6. Step 6: Final answer
    x = 1,286.19

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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.