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Finding the Fourth Proportional to 836.14, 1,153.86 and 463.12

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Solution

The fourth proportional to 836.14, 1,153.86 and 463.12 is: 639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.14 : 1,153.86 = 463.12 : x
  2. Step 2: Convert to fraction form
    836.14/1,153.86 = 463.12/x
  3. Step 3: Cross multiply
    836.14x = 1,153.86 × 463.12
  4. Step 4: Simplify right side
    836.14x = 534,375.64
  5. Step 5: Solve for x
    x = 534,375.64/836.14
  6. Step 6: Final answer
    x = 639.10

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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.