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Finding the Fourth Proportional to 781.07, 1,171.80 and 294.26

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Solution

The fourth proportional to 781.07, 1,171.80 and 294.26 is: 441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.07 : 1,171.80 = 294.26 : x
  2. Step 2: Convert to fraction form
    781.07/1,171.80 = 294.26/x
  3. Step 3: Cross multiply
    781.07x = 1,171.80 × 294.26
  4. Step 4: Simplify right side
    781.07x = 344,808.01
  5. Step 5: Solve for x
    x = 344,808.01/781.07
  6. Step 6: Final answer
    x = 441.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.