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Finding the Fourth Proportional to 1,073.31, 1,610.03 and 343.36

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Solution

The fourth proportional to 1,073.31, 1,610.03 and 343.36 is: 515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.31 : 1,610.03 = 343.36 : x
  2. Step 2: Convert to fraction form
    1,073.31/1,610.03 = 343.36/x
  3. Step 3: Cross multiply
    1,073.31x = 1,610.03 × 343.36
  4. Step 4: Simplify right side
    1,073.31x = 552,819.90
  5. Step 5: Solve for x
    x = 552,819.90/1,073.31
  6. Step 6: Final answer
    x = 515.06

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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.