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Finding the Fourth Proportional to 857.98, 1,285.18 and 711.38

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Solution

The fourth proportional to 857.98, 1,285.18 and 711.38 is: 1,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.98 : 1,285.18 = 711.38 : x
  2. Step 2: Convert to fraction form
    857.98/1,285.18 = 711.38/x
  3. Step 3: Cross multiply
    857.98x = 1,285.18 × 711.38
  4. Step 4: Simplify right side
    857.98x = 914,252.78
  5. Step 5: Solve for x
    x = 914,252.78/857.98
  6. Step 6: Final answer
    x = 1,065.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.