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Finding the Fourth Proportional to 847.62, 1,169.87 and 493.49

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Solution

The fourth proportional to 847.62, 1,169.87 and 493.49 is: 681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.62 : 1,169.87 = 493.49 : x
  2. Step 2: Convert to fraction form
    847.62/1,169.87 = 493.49/x
  3. Step 3: Cross multiply
    847.62x = 1,169.87 × 493.49
  4. Step 4: Simplify right side
    847.62x = 577,319.60
  5. Step 5: Solve for x
    x = 577,319.60/847.62
  6. Step 6: Final answer
    x = 681.11

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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.