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Finding the Fourth Proportional to 836.12, 1,153.84 and 486.80

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Solution

The fourth proportional to 836.12, 1,153.84 and 486.80 is: 671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.12 : 1,153.84 = 486.80 : x
  2. Step 2: Convert to fraction form
    836.12/1,153.84 = 486.80/x
  3. Step 3: Cross multiply
    836.12x = 1,153.84 × 486.80
  4. Step 4: Simplify right side
    836.12x = 561,689.31
  5. Step 5: Solve for x
    x = 561,689.31/836.12
  6. Step 6: Final answer
    x = 671.78

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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.