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Finding the Fourth Proportional to 836.14, 1,153.85 and 463.13

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Solution

The fourth proportional to 836.14, 1,153.85 and 463.13 is: 639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.14 : 1,153.85 = 463.13 : x
  2. Step 2: Convert to fraction form
    836.14/1,153.85 = 463.13/x
  3. Step 3: Cross multiply
    836.14x = 1,153.85 × 463.13
  4. Step 4: Simplify right side
    836.14x = 534,383.12
  5. Step 5: Solve for x
    x = 534,383.12/836.14
  6. Step 6: Final answer
    x = 639.11

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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.