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Finding the Fourth Proportional to 882.21, 1,217.49 and 489.27

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Solution

The fourth proportional to 882.21, 1,217.49 and 489.27 is: 675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.21 : 1,217.49 = 489.27 : x
  2. Step 2: Convert to fraction form
    882.21/1,217.49 = 489.27/x
  3. Step 3: Cross multiply
    882.21x = 1,217.49 × 489.27
  4. Step 4: Simplify right side
    882.21x = 595,681.33
  5. Step 5: Solve for x
    x = 595,681.33/882.21
  6. Step 6: Final answer
    x = 675.21

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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.