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Finding the Fourth Proportional to 1,073.61, 1,610.42 and 343.25

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Solution

The fourth proportional to 1,073.61, 1,610.42 and 343.25 is: 514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.61 : 1,610.42 = 343.25 : x
  2. Step 2: Convert to fraction form
    1,073.61/1,610.42 = 343.25/x
  3. Step 3: Cross multiply
    1,073.61x = 1,610.42 × 343.25
  4. Step 4: Simplify right side
    1,073.61x = 552,768.18
  5. Step 5: Solve for x
    x = 552,768.18/1,073.61
  6. Step 6: Final answer
    x = 514.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.