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Finding the Fourth Proportional to 857, 1,182.82 and 489

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Solution

The fourth proportional to 857, 1,182.82 and 489 is: 674.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    857 : 1,182.82 = 489 : x
  2. Step 2: Convert to fraction form
    857/1,182.82 = 489/x
  3. Step 3: Cross multiply
    857x = 1,182.82 × 489
  4. Step 4: Simplify right side
    857x = 578,398.98
  5. Step 5: Solve for x
    x = 578,398.98/857
  6. Step 6: Final answer
    x = 674.91

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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.