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Finding the Fourth Proportional to 1,310.31, 1,966.61 and 761.74

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Solution

The fourth proportional to 1,310.31, 1,966.61 and 761.74 is: 1,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.31 : 1,966.61 = 761.74 : x
  2. Step 2: Convert to fraction form
    1,310.31/1,966.61 = 761.74/x
  3. Step 3: Cross multiply
    1,310.31x = 1,966.61 × 761.74
  4. Step 4: Simplify right side
    1,310.31x = 1,498,042.49
  5. Step 5: Solve for x
    x = 1,498,042.49/1,310.31
  6. Step 6: Final answer
    x = 1,143.27

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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.