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Finding the Fourth Proportional to 715.44, 1,072.89 and 253.14

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Solution

The fourth proportional to 715.44, 1,072.89 and 253.14 is: 379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.44 : 1,072.89 = 253.14 : x
  2. Step 2: Convert to fraction form
    715.44/1,072.89 = 253.14/x
  3. Step 3: Cross multiply
    715.44x = 1,072.89 × 253.14
  4. Step 4: Simplify right side
    715.44x = 271,587.35
  5. Step 5: Solve for x
    x = 271,587.35/715.44
  6. Step 6: Final answer
    x = 379.61

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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.