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Finding the Fourth Proportional to 1,287.78, 1,774.55 and 932.57

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Solution

The fourth proportional to 1,287.78, 1,774.55 and 932.57 is: 1,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.78 : 1,774.55 = 932.57 : x
  2. Step 2: Convert to fraction form
    1,287.78/1,774.55 = 932.57/x
  3. Step 3: Cross multiply
    1,287.78x = 1,774.55 × 932.57
  4. Step 4: Simplify right side
    1,287.78x = 1,654,878.56
  5. Step 5: Solve for x
    x = 1,654,878.56/1,287.78
  6. Step 6: Final answer
    x = 1,285.06

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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.