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Finding the Fourth Proportional to 1,242.36, 1,862.83 and 512.44

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Solution

The fourth proportional to 1,242.36, 1,862.83 and 512.44 is: 768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.36 : 1,862.83 = 512.44 : x
  2. Step 2: Convert to fraction form
    1,242.36/1,862.83 = 512.44/x
  3. Step 3: Cross multiply
    1,242.36x = 1,862.83 × 512.44
  4. Step 4: Simplify right side
    1,242.36x = 954,588.61
  5. Step 5: Solve for x
    x = 954,588.61/1,242.36
  6. Step 6: Final answer
    x = 768.37

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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.