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Finding the Fourth Proportional to 781.67, 1,172.66 and 294.73

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Solution

The fourth proportional to 781.67, 1,172.66 and 294.73 is: 442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.67 : 1,172.66 = 294.73 : x
  2. Step 2: Convert to fraction form
    781.67/1,172.66 = 294.73/x
  3. Step 3: Cross multiply
    781.67x = 1,172.66 × 294.73
  4. Step 4: Simplify right side
    781.67x = 345,618.08
  5. Step 5: Solve for x
    x = 345,618.08/781.67
  6. Step 6: Final answer
    x = 442.15

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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.