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Finding the Fourth Proportional to 881.24, 1,320.78 and 495.32

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Solution

The fourth proportional to 881.24, 1,320.78 and 495.32 is: 742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.24 : 1,320.78 = 495.32 : x
  2. Step 2: Convert to fraction form
    881.24/1,320.78 = 495.32/x
  3. Step 3: Cross multiply
    881.24x = 1,320.78 × 495.32
  4. Step 4: Simplify right side
    881.24x = 654,208.75
  5. Step 5: Solve for x
    x = 654,208.75/881.24
  6. Step 6: Final answer
    x = 742.37

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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.