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Finding the Fourth Proportional to 1,170.71, 1,757.43 and 822.61

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Solution

The fourth proportional to 1,170.71, 1,757.43 and 822.61 is: 1,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.71 : 1,757.43 = 822.61 : x
  2. Step 2: Convert to fraction form
    1,170.71/1,757.43 = 822.61/x
  3. Step 3: Cross multiply
    1,170.71x = 1,757.43 × 822.61
  4. Step 4: Simplify right side
    1,170.71x = 1,445,681.69
  5. Step 5: Solve for x
    x = 1,445,681.69/1,170.71
  6. Step 6: Final answer
    x = 1,234.88

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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.