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Finding the Fourth Proportional to 1,222.91, 1,687.62 and 725.79

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Solution

The fourth proportional to 1,222.91, 1,687.62 and 725.79 is: 1,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.91 : 1,687.62 = 725.79 : x
  2. Step 2: Convert to fraction form
    1,222.91/1,687.62 = 725.79/x
  3. Step 3: Cross multiply
    1,222.91x = 1,687.62 × 725.79
  4. Step 4: Simplify right side
    1,222.91x = 1,224,857.72
  5. Step 5: Solve for x
    x = 1,224,857.72/1,222.91
  6. Step 6: Final answer
    x = 1,001.60

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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.