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Finding the Fourth Proportional to 1,138.31, 1,704.22 and 964.97

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Solution

The fourth proportional to 1,138.31, 1,704.22 and 964.97 is: 1,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.31 : 1,704.22 = 964.97 : x
  2. Step 2: Convert to fraction form
    1,138.31/1,704.22 = 964.97/x
  3. Step 3: Cross multiply
    1,138.31x = 1,704.22 × 964.97
  4. Step 4: Simplify right side
    1,138.31x = 1,644,521.17
  5. Step 5: Solve for x
    x = 1,644,521.17/1,138.31
  6. Step 6: Final answer
    x = 1,444.70

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Why These Related Problems?

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