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Finding the Fourth Proportional to 836.87, 1,154.81 and 463.86

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Solution

The fourth proportional to 836.87, 1,154.81 and 463.86 is: 640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.87 : 1,154.81 = 463.86 : x
  2. Step 2: Convert to fraction form
    836.87/1,154.81 = 463.86/x
  3. Step 3: Cross multiply
    836.87x = 1,154.81 × 463.86
  4. Step 4: Simplify right side
    836.87x = 535,671.33
  5. Step 5: Solve for x
    x = 535,671.33/836.87
  6. Step 6: Final answer
    x = 640.09

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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.