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Finding the Fourth Proportional to 820.88, 1,132.94 and 489.32

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Solution

The fourth proportional to 820.88, 1,132.94 and 489.32 is: 675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.88 : 1,132.94 = 489.32 : x
  2. Step 2: Convert to fraction form
    820.88/1,132.94 = 489.32/x
  3. Step 3: Cross multiply
    820.88x = 1,132.94 × 489.32
  4. Step 4: Simplify right side
    820.88x = 554,370.20
  5. Step 5: Solve for x
    x = 554,370.20/820.88
  6. Step 6: Final answer
    x = 675.34

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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.