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Finding the Fourth Proportional to 981.98, 1,471.62 and 706.85

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Solution

The fourth proportional to 981.98, 1,471.62 and 706.85 is: 1,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.98 : 1,471.62 = 706.85 : x
  2. Step 2: Convert to fraction form
    981.98/1,471.62 = 706.85/x
  3. Step 3: Cross multiply
    981.98x = 1,471.62 × 706.85
  4. Step 4: Simplify right side
    981.98x = 1,040,214.60
  5. Step 5: Solve for x
    x = 1,040,214.60/981.98
  6. Step 6: Final answer
    x = 1,059.30

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Why These Related Problems?

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