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Finding the Fourth Proportional to 1,073.05, 1,609.62 and 342.55

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Solution

The fourth proportional to 1,073.05, 1,609.62 and 342.55 is: 513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.05 : 1,609.62 = 342.55 : x
  2. Step 2: Convert to fraction form
    1,073.05/1,609.62 = 342.55/x
  3. Step 3: Cross multiply
    1,073.05x = 1,609.62 × 342.55
  4. Step 4: Simplify right side
    1,073.05x = 551,375.33
  5. Step 5: Solve for x
    x = 551,375.33/1,073.05
  6. Step 6: Final answer
    x = 513.84

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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.