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Finding the Fourth Proportional to 781.98, 1,172.80 and 262.02

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Solution

The fourth proportional to 781.98, 1,172.80 and 262.02 is: 392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.98 : 1,172.80 = 262.02 : x
  2. Step 2: Convert to fraction form
    781.98/1,172.80 = 262.02/x
  3. Step 3: Cross multiply
    781.98x = 1,172.80 × 262.02
  4. Step 4: Simplify right side
    781.98x = 307,297.06
  5. Step 5: Solve for x
    x = 307,297.06/781.98
  6. Step 6: Final answer
    x = 392.97

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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.