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Finding the Fourth Proportional to 715.27, 1,072.94 and 253.06

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Solution

The fourth proportional to 715.27, 1,072.94 and 253.06 is: 379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.27 : 1,072.94 = 253.06 : x
  2. Step 2: Convert to fraction form
    715.27/1,072.94 = 253.06/x
  3. Step 3: Cross multiply
    715.27x = 1,072.94 × 253.06
  4. Step 4: Simplify right side
    715.27x = 271,514.90
  5. Step 5: Solve for x
    x = 271,514.90/715.27
  6. Step 6: Final answer
    x = 379.60

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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.