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Finding the Fourth Proportional to 847.52, 1,169.42 and 498.12

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Solution

The fourth proportional to 847.52, 1,169.42 and 498.12 is: 687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.52 : 1,169.42 = 498.12 : x
  2. Step 2: Convert to fraction form
    847.52/1,169.42 = 498.12/x
  3. Step 3: Cross multiply
    847.52x = 1,169.42 × 498.12
  4. Step 4: Simplify right side
    847.52x = 582,511.49
  5. Step 5: Solve for x
    x = 582,511.49/847.52
  6. Step 6: Final answer
    x = 687.31

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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.