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Finding the Fourth Proportional to 847.81, 1,170.11 and 493.85

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Solution

The fourth proportional to 847.81, 1,170.11 and 493.85 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.81 : 1,170.11 = 493.85 : x
  2. Step 2: Convert to fraction form
    847.81/1,170.11 = 493.85/x
  3. Step 3: Cross multiply
    847.81x = 1,170.11 × 493.85
  4. Step 4: Simplify right side
    847.81x = 577,856.35
  5. Step 5: Solve for x
    x = 577,856.35/847.81
  6. Step 6: Final answer
    x = 681.59

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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.