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Finding the Fourth Proportional to 839.97, 1,253.27 and 833.49

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Solution

The fourth proportional to 839.97, 1,253.27 and 833.49 is: 1,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.97 : 1,253.27 = 833.49 : x
  2. Step 2: Convert to fraction form
    839.97/1,253.27 = 833.49/x
  3. Step 3: Cross multiply
    839.97x = 1,253.27 × 833.49
  4. Step 4: Simplify right side
    839.97x = 1,044,590.10
  5. Step 5: Solve for x
    x = 1,044,590.10/839.97
  6. Step 6: Final answer
    x = 1,243.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.