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Finding the Fourth Proportional to 1,276.58, 1,761.81 and 752.78

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Solution

The fourth proportional to 1,276.58, 1,761.81 and 752.78 is: 1,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.58 : 1,761.81 = 752.78 : x
  2. Step 2: Convert to fraction form
    1,276.58/1,761.81 = 752.78/x
  3. Step 3: Cross multiply
    1,276.58x = 1,761.81 × 752.78
  4. Step 4: Simplify right side
    1,276.58x = 1,326,255.33
  5. Step 5: Solve for x
    x = 1,326,255.33/1,276.58
  6. Step 6: Final answer
    x = 1,038.91

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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.