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Finding the Fourth Proportional to 1,243.22, 1,864.84 and 512.78

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Solution

The fourth proportional to 1,243.22, 1,864.84 and 512.78 is: 769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.22 : 1,864.84 = 512.78 : x
  2. Step 2: Convert to fraction form
    1,243.22/1,864.84 = 512.78/x
  3. Step 3: Cross multiply
    1,243.22x = 1,864.84 × 512.78
  4. Step 4: Simplify right side
    1,243.22x = 956,252.66
  5. Step 5: Solve for x
    x = 956,252.66/1,243.22
  6. Step 6: Final answer
    x = 769.17

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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.