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Finding the Fourth Proportional to 781.79, 1,172.85 and 392.05

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Solution

The fourth proportional to 781.79, 1,172.85 and 392.05 is: 588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.79 : 1,172.85 = 392.05 : x
  2. Step 2: Convert to fraction form
    781.79/1,172.85 = 392.05/x
  3. Step 3: Cross multiply
    781.79x = 1,172.85 × 392.05
  4. Step 4: Simplify right side
    781.79x = 459,808.02
  5. Step 5: Solve for x
    x = 459,808.02/781.79
  6. Step 6: Final answer
    x = 588.15

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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.