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Finding the Fourth Proportional to 847.52, 1,169.44 and 498.24

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Solution

The fourth proportional to 847.52, 1,169.44 and 498.24 is: 687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.52 : 1,169.44 = 498.24 : x
  2. Step 2: Convert to fraction form
    847.52/1,169.44 = 498.24/x
  3. Step 3: Cross multiply
    847.52x = 1,169.44 × 498.24
  4. Step 4: Simplify right side
    847.52x = 582,661.79
  5. Step 5: Solve for x
    x = 582,661.79/847.52
  6. Step 6: Final answer
    x = 687.49

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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.