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Finding the Fourth Proportional to 715.16, 1,072.86 and 252.92

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Solution

The fourth proportional to 715.16, 1,072.86 and 252.92 is: 379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.16 : 1,072.86 = 252.92 : x
  2. Step 2: Convert to fraction form
    715.16/1,072.86 = 252.92/x
  3. Step 3: Cross multiply
    715.16x = 1,072.86 × 252.92
  4. Step 4: Simplify right side
    715.16x = 271,347.75
  5. Step 5: Solve for x
    x = 271,347.75/715.16
  6. Step 6: Final answer
    x = 379.42

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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.