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Finding the Fourth Proportional to 836.32, 1,153.87 and 486.94

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Solution

The fourth proportional to 836.32, 1,153.87 and 486.94 is: 671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.32 : 1,153.87 = 486.94 : x
  2. Step 2: Convert to fraction form
    836.32/1,153.87 = 486.94/x
  3. Step 3: Cross multiply
    836.32x = 1,153.87 × 486.94
  4. Step 4: Simplify right side
    836.32x = 561,865.46
  5. Step 5: Solve for x
    x = 561,865.46/836.32
  6. Step 6: Final answer
    x = 671.83

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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.