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Finding the Fourth Proportional to 1,112.78, 1,535.92 and 758.54

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Solution

The fourth proportional to 1,112.78, 1,535.92 and 758.54 is: 1,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.78 : 1,535.92 = 758.54 : x
  2. Step 2: Convert to fraction form
    1,112.78/1,535.92 = 758.54/x
  3. Step 3: Cross multiply
    1,112.78x = 1,535.92 × 758.54
  4. Step 4: Simplify right side
    1,112.78x = 1,165,056.76
  5. Step 5: Solve for x
    x = 1,165,056.76/1,112.78
  6. Step 6: Final answer
    x = 1,046.98

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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.