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Finding the Fourth Proportional to 981.13, 1,471.41 and 706.42

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Solution

The fourth proportional to 981.13, 1,471.41 and 706.42 is: 1,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.13 : 1,471.41 = 706.42 : x
  2. Step 2: Convert to fraction form
    981.13/1,471.41 = 706.42/x
  3. Step 3: Cross multiply
    981.13x = 1,471.41 × 706.42
  4. Step 4: Simplify right side
    981.13x = 1,039,433.45
  5. Step 5: Solve for x
    x = 1,039,433.45/981.13
  6. Step 6: Final answer
    x = 1,059.42

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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.