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Finding the Fourth Proportional to 1,234.46, 1,702.17 and 940.43

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Solution

The fourth proportional to 1,234.46, 1,702.17 and 940.43 is: 1,296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.46 : 1,702.17 = 940.43 : x
  2. Step 2: Convert to fraction form
    1,234.46/1,702.17 = 940.43/x
  3. Step 3: Cross multiply
    1,234.46x = 1,702.17 × 940.43
  4. Step 4: Simplify right side
    1,234.46x = 1,600,775.99
  5. Step 5: Solve for x
    x = 1,600,775.99/1,234.46
  6. Step 6: Final answer
    x = 1,296.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.