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Finding the Fourth Proportional to 862.17, 1,189.83 and 489.14

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Solution

The fourth proportional to 862.17, 1,189.83 and 489.14 is: 675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.17 : 1,189.83 = 489.14 : x
  2. Step 2: Convert to fraction form
    862.17/1,189.83 = 489.14/x
  3. Step 3: Cross multiply
    862.17x = 1,189.83 × 489.14
  4. Step 4: Simplify right side
    862.17x = 581,987.50
  5. Step 5: Solve for x
    x = 581,987.50/862.17
  6. Step 6: Final answer
    x = 675.03

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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.