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Finding the Fourth Proportional to 981.10, 1,472.46 and 694.36

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Solution

The fourth proportional to 981.10, 1,472.46 and 694.36 is: 1,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.10 : 1,472.46 = 694.36 : x
  2. Step 2: Convert to fraction form
    981.10/1,472.46 = 694.36/x
  3. Step 3: Cross multiply
    981.10x = 1,472.46 × 694.36
  4. Step 4: Simplify right side
    981.10x = 1,022,417.33
  5. Step 5: Solve for x
    x = 1,022,417.33/981.10
  6. Step 6: Final answer
    x = 1,042.11

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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.