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Finding the Fourth Proportional to 781.19, 1,172.19 and 566.54

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Solution

The fourth proportional to 781.19, 1,172.19 and 566.54 is: 850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.19 : 1,172.19 = 566.54 : x
  2. Step 2: Convert to fraction form
    781.19/1,172.19 = 566.54/x
  3. Step 3: Cross multiply
    781.19x = 1,172.19 × 566.54
  4. Step 4: Simplify right side
    781.19x = 664,083.83
  5. Step 5: Solve for x
    x = 664,083.83/781.19
  6. Step 6: Final answer
    x = 850.10

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Why These Related Problems?

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