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Finding the Fourth Proportional to 781.24, 1,171.50 and 294.28

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Solution

The fourth proportional to 781.24, 1,171.50 and 294.28 is: 441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.24 : 1,171.50 = 294.28 : x
  2. Step 2: Convert to fraction form
    781.24/1,171.50 = 294.28/x
  3. Step 3: Cross multiply
    781.24x = 1,171.50 × 294.28
  4. Step 4: Simplify right side
    781.24x = 344,749.02
  5. Step 5: Solve for x
    x = 344,749.02/781.24
  6. Step 6: Final answer
    x = 441.28

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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.