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Finding the Fourth Proportional to 862.06, 1,189.71 and 489.08

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Solution

The fourth proportional to 862.06, 1,189.71 and 489.08 is: 674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.06 : 1,189.71 = 489.08 : x
  2. Step 2: Convert to fraction form
    862.06/1,189.71 = 489.08/x
  3. Step 3: Cross multiply
    862.06x = 1,189.71 × 489.08
  4. Step 4: Simplify right side
    862.06x = 581,854.97
  5. Step 5: Solve for x
    x = 581,854.97/862.06
  6. Step 6: Final answer
    x = 674.96

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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.