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Finding the Fourth Proportional to 1,073.14, 1,609.57 and 342.73

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Solution

The fourth proportional to 1,073.14, 1,609.57 and 342.73 is: 514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.14 : 1,609.57 = 342.73 : x
  2. Step 2: Convert to fraction form
    1,073.14/1,609.57 = 342.73/x
  3. Step 3: Cross multiply
    1,073.14x = 1,609.57 × 342.73
  4. Step 4: Simplify right side
    1,073.14x = 551,647.93
  5. Step 5: Solve for x
    x = 551,647.93/1,073.14
  6. Step 6: Final answer
    x = 514.05

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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.