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Finding the Fourth Proportional to 781.11, 1,171.65 and 370.44

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Solution

The fourth proportional to 781.11, 1,171.65 and 370.44 is: 555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.11 : 1,171.65 = 370.44 : x
  2. Step 2: Convert to fraction form
    781.11/1,171.65 = 370.44/x
  3. Step 3: Cross multiply
    781.11x = 1,171.65 × 370.44
  4. Step 4: Simplify right side
    781.11x = 434,026.03
  5. Step 5: Solve for x
    x = 434,026.03/781.11
  6. Step 6: Final answer
    x = 555.65

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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.