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Finding the Fourth Proportional to 847.92, 1,169.74 and 498.44

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Solution

The fourth proportional to 847.92, 1,169.74 and 498.44 is: 687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.92 : 1,169.74 = 498.44 : x
  2. Step 2: Convert to fraction form
    847.92/1,169.74 = 498.44/x
  3. Step 3: Cross multiply
    847.92x = 1,169.74 × 498.44
  4. Step 4: Simplify right side
    847.92x = 583,045.21
  5. Step 5: Solve for x
    x = 583,045.21/847.92
  6. Step 6: Final answer
    x = 687.62

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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.