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Finding the Fourth Proportional to 981.90, 1,474.14 and 571.32

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Solution

The fourth proportional to 981.90, 1,474.14 and 571.32 is: 857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.90 : 1,474.14 = 571.32 : x
  2. Step 2: Convert to fraction form
    981.90/1,474.14 = 571.32/x
  3. Step 3: Cross multiply
    981.90x = 1,474.14 × 571.32
  4. Step 4: Simplify right side
    981.90x = 842,205.66
  5. Step 5: Solve for x
    x = 842,205.66/981.90
  6. Step 6: Final answer
    x = 857.73

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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.