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Finding the Fourth Proportional to 869.39, 1,304.97 and 849.79

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Solution

The fourth proportional to 869.39, 1,304.97 and 849.79 is: 1,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.39 : 1,304.97 = 849.79 : x
  2. Step 2: Convert to fraction form
    869.39/1,304.97 = 849.79/x
  3. Step 3: Cross multiply
    869.39x = 1,304.97 × 849.79
  4. Step 4: Simplify right side
    869.39x = 1,108,950.46
  5. Step 5: Solve for x
    x = 1,108,950.46/869.39
  6. Step 6: Final answer
    x = 1,275.55

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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.