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Finding the Fourth Proportional to 1,126.31, 1,686.71 and 778.71

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Solution

The fourth proportional to 1,126.31, 1,686.71 and 778.71 is: 1,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.31 : 1,686.71 = 778.71 : x
  2. Step 2: Convert to fraction form
    1,126.31/1,686.71 = 778.71/x
  3. Step 3: Cross multiply
    1,126.31x = 1,686.71 × 778.71
  4. Step 4: Simplify right side
    1,126.31x = 1,313,454.05
  5. Step 5: Solve for x
    x = 1,313,454.05/1,126.31
  6. Step 6: Final answer
    x = 1,166.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.