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Finding the Fourth Proportional to 766.31, 1,143.86 and 701.37

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Solution

The fourth proportional to 766.31, 1,143.86 and 701.37 is: 1,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.31 : 1,143.86 = 701.37 : x
  2. Step 2: Convert to fraction form
    766.31/1,143.86 = 701.37/x
  3. Step 3: Cross multiply
    766.31x = 1,143.86 × 701.37
  4. Step 4: Simplify right side
    766.31x = 802,265.58
  5. Step 5: Solve for x
    x = 802,265.58/766.31
  6. Step 6: Final answer
    x = 1,046.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.