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Finding the Fourth Proportional to 952.82, 1,313.58 and 932.12

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Solution

The fourth proportional to 952.82, 1,313.58 and 932.12 is: 1,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.82 : 1,313.58 = 932.12 : x
  2. Step 2: Convert to fraction form
    952.82/1,313.58 = 932.12/x
  3. Step 3: Cross multiply
    952.82x = 1,313.58 × 932.12
  4. Step 4: Simplify right side
    952.82x = 1,224,414.19
  5. Step 5: Solve for x
    x = 1,224,414.19/952.82
  6. Step 6: Final answer
    x = 1,285.04

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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.