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Finding the Fourth Proportional to 981.15, 1,473.78 and 827.38

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Solution

The fourth proportional to 981.15, 1,473.78 and 827.38 is: 1,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.15 : 1,473.78 = 827.38 : x
  2. Step 2: Convert to fraction form
    981.15/1,473.78 = 827.38/x
  3. Step 3: Cross multiply
    981.15x = 1,473.78 × 827.38
  4. Step 4: Simplify right side
    981.15x = 1,219,376.10
  5. Step 5: Solve for x
    x = 1,219,376.10/981.15
  6. Step 6: Final answer
    x = 1,242.80

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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.