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Finding the Fourth Proportional to 1,268.70, 1,901.31 and 610.83

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Solution

The fourth proportional to 1,268.70, 1,901.31 and 610.83 is: 915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.70 : 1,901.31 = 610.83 : x
  2. Step 2: Convert to fraction form
    1,268.70/1,901.31 = 610.83/x
  3. Step 3: Cross multiply
    1,268.70x = 1,901.31 × 610.83
  4. Step 4: Simplify right side
    1,268.70x = 1,161,377.19
  5. Step 5: Solve for x
    x = 1,161,377.19/1,268.70
  6. Step 6: Final answer
    x = 915.41

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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.