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Finding the Fourth Proportional to 836.17, 1,252.84 and 591.50

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Solution

The fourth proportional to 836.17, 1,252.84 and 591.50 is: 886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.17 : 1,252.84 = 591.50 : x
  2. Step 2: Convert to fraction form
    836.17/1,252.84 = 591.50/x
  3. Step 3: Cross multiply
    836.17x = 1,252.84 × 591.50
  4. Step 4: Simplify right side
    836.17x = 741,054.86
  5. Step 5: Solve for x
    x = 741,054.86/836.17
  6. Step 6: Final answer
    x = 886.25

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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.