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Finding the Fourth Proportional to 847.42, 1,169.67 and 498.22

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Solution

The fourth proportional to 847.42, 1,169.67 and 498.22 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.42 : 1,169.67 = 498.22 : x
  2. Step 2: Convert to fraction form
    847.42/1,169.67 = 498.22/x
  3. Step 3: Cross multiply
    847.42x = 1,169.67 × 498.22
  4. Step 4: Simplify right side
    847.42x = 582,752.99
  5. Step 5: Solve for x
    x = 582,752.99/847.42
  6. Step 6: Final answer
    x = 687.68

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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.