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Finding the Fourth Proportional to 952.76, 1,426.26 and 880.76

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Solution

The fourth proportional to 952.76, 1,426.26 and 880.76 is: 1,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.76 : 1,426.26 = 880.76 : x
  2. Step 2: Convert to fraction form
    952.76/1,426.26 = 880.76/x
  3. Step 3: Cross multiply
    952.76x = 1,426.26 × 880.76
  4. Step 4: Simplify right side
    952.76x = 1,256,192.76
  5. Step 5: Solve for x
    x = 1,256,192.76/952.76
  6. Step 6: Final answer
    x = 1,318.48

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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.