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Finding the Fourth Proportional to 781.28, 1,170.86 and 294.06

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Solution

The fourth proportional to 781.28, 1,170.86 and 294.06 is: 440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.28 : 1,170.86 = 294.06 : x
  2. Step 2: Convert to fraction form
    781.28/1,170.86 = 294.06/x
  3. Step 3: Cross multiply
    781.28x = 1,170.86 × 294.06
  4. Step 4: Simplify right side
    781.28x = 344,306.01
  5. Step 5: Solve for x
    x = 344,306.01/781.28
  6. Step 6: Final answer
    x = 440.70

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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.