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Finding the Fourth Proportional to 836.98, 1,253.41 and 576.25

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Solution

The fourth proportional to 836.98, 1,253.41 and 576.25 is: 862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.98 : 1,253.41 = 576.25 : x
  2. Step 2: Convert to fraction form
    836.98/1,253.41 = 576.25/x
  3. Step 3: Cross multiply
    836.98x = 1,253.41 × 576.25
  4. Step 4: Simplify right side
    836.98x = 722,268.36
  5. Step 5: Solve for x
    x = 722,268.36/836.98
  6. Step 6: Final answer
    x = 862.95

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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.