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Finding the Fourth Proportional to 781.76, 1,172.76 and 294.80

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Solution

The fourth proportional to 781.76, 1,172.76 and 294.80 is: 442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.76 : 1,172.76 = 294.80 : x
  2. Step 2: Convert to fraction form
    781.76/1,172.76 = 294.80/x
  3. Step 3: Cross multiply
    781.76x = 1,172.76 × 294.80
  4. Step 4: Simplify right side
    781.76x = 345,729.65
  5. Step 5: Solve for x
    x = 345,729.65/781.76
  6. Step 6: Final answer
    x = 442.25

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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.