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Finding the Fourth Proportional to 862.02, 1,189.80 and 489.22

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Solution

The fourth proportional to 862.02, 1,189.80 and 489.22 is: 675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.02 : 1,189.80 = 489.22 : x
  2. Step 2: Convert to fraction form
    862.02/1,189.80 = 489.22/x
  3. Step 3: Cross multiply
    862.02x = 1,189.80 × 489.22
  4. Step 4: Simplify right side
    862.02x = 582,073.96
  5. Step 5: Solve for x
    x = 582,073.96/862.02
  6. Step 6: Final answer
    x = 675.24

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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.