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Finding the Fourth Proportional to 1,275.89, 1,761.27 and 778.71

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Solution

The fourth proportional to 1,275.89, 1,761.27 and 778.71 is: 1,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.89 : 1,761.27 = 778.71 : x
  2. Step 2: Convert to fraction form
    1,275.89/1,761.27 = 778.71/x
  3. Step 3: Cross multiply
    1,275.89x = 1,761.27 × 778.71
  4. Step 4: Simplify right side
    1,275.89x = 1,371,505.86
  5. Step 5: Solve for x
    x = 1,371,505.86/1,275.89
  6. Step 6: Final answer
    x = 1,074.94

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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.