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Finding the Fourth Proportional to 821.04, 1,132.89 and 489.45

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Solution

The fourth proportional to 821.04, 1,132.89 and 489.45 is: 675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.04 : 1,132.89 = 489.45 : x
  2. Step 2: Convert to fraction form
    821.04/1,132.89 = 489.45/x
  3. Step 3: Cross multiply
    821.04x = 1,132.89 × 489.45
  4. Step 4: Simplify right side
    821.04x = 554,493.01
  5. Step 5: Solve for x
    x = 554,493.01/821.04
  6. Step 6: Final answer
    x = 675.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.