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Finding the Fourth Proportional to 781.68, 1,173.12 and 295.20

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Solution

The fourth proportional to 781.68, 1,173.12 and 295.20 is: 443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.68 : 1,173.12 = 295.20 : x
  2. Step 2: Convert to fraction form
    781.68/1,173.12 = 295.20/x
  3. Step 3: Cross multiply
    781.68x = 1,173.12 × 295.20
  4. Step 4: Simplify right side
    781.68x = 346,305.02
  5. Step 5: Solve for x
    x = 346,305.02/781.68
  6. Step 6: Final answer
    x = 443.03

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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.