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Finding the Fourth Proportional to 836.75, 1,154.77 and 463.84

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Solution

The fourth proportional to 836.75, 1,154.77 and 463.84 is: 640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.75 : 1,154.77 = 463.84 : x
  2. Step 2: Convert to fraction form
    836.75/1,154.77 = 463.84/x
  3. Step 3: Cross multiply
    836.75x = 1,154.77 × 463.84
  4. Step 4: Simplify right side
    836.75x = 535,633.57
  5. Step 5: Solve for x
    x = 535,633.57/836.75
  6. Step 6: Final answer
    x = 640.14

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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.