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Finding the Fourth Proportional to 882.54, 1,217.92 and 489.58

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Solution

The fourth proportional to 882.54, 1,217.92 and 489.58 is: 675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.54 : 1,217.92 = 489.58 : x
  2. Step 2: Convert to fraction form
    882.54/1,217.92 = 489.58/x
  3. Step 3: Cross multiply
    882.54x = 1,217.92 × 489.58
  4. Step 4: Simplify right side
    882.54x = 596,269.27
  5. Step 5: Solve for x
    x = 596,269.27/882.54
  6. Step 6: Final answer
    x = 675.63

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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.