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Finding the Fourth Proportional to 974.70, 1,341.99 and 827.10

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Solution

The fourth proportional to 974.70, 1,341.99 and 827.10 is: 1,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.70 : 1,341.99 = 827.10 : x
  2. Step 2: Convert to fraction form
    974.70/1,341.99 = 827.10/x
  3. Step 3: Cross multiply
    974.70x = 1,341.99 × 827.10
  4. Step 4: Simplify right side
    974.70x = 1,109,959.93
  5. Step 5: Solve for x
    x = 1,109,959.93/974.70
  6. Step 6: Final answer
    x = 1,138.77

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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.