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Finding the Fourth Proportional to 781.96, 1,172.79 and 294.88

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Solution

The fourth proportional to 781.96, 1,172.79 and 294.88 is: 442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.96 : 1,172.79 = 294.88 : x
  2. Step 2: Convert to fraction form
    781.96/1,172.79 = 294.88/x
  3. Step 3: Cross multiply
    781.96x = 1,172.79 × 294.88
  4. Step 4: Simplify right side
    781.96x = 345,832.32
  5. Step 5: Solve for x
    x = 345,832.32/781.96
  6. Step 6: Final answer
    x = 442.26

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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.