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Finding the Fourth Proportional to 981.66, 1,354.41 and 649.97

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Solution

The fourth proportional to 981.66, 1,354.41 and 649.97 is: 896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.66 : 1,354.41 = 649.97 : x
  2. Step 2: Convert to fraction form
    981.66/1,354.41 = 649.97/x
  3. Step 3: Cross multiply
    981.66x = 1,354.41 × 649.97
  4. Step 4: Simplify right side
    981.66x = 880,319.10
  5. Step 5: Solve for x
    x = 880,319.10/981.66
  6. Step 6: Final answer
    x = 896.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.