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Finding the Fourth Proportional to 715.47, 1,073.10 and 253.22

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Solution

The fourth proportional to 715.47, 1,073.10 and 253.22 is: 379.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.47 : 1,073.10 = 253.22 : x
  2. Step 2: Convert to fraction form
    715.47/1,073.10 = 253.22/x
  3. Step 3: Cross multiply
    715.47x = 1,073.10 × 253.22
  4. Step 4: Simplify right side
    715.47x = 271,730.38
  5. Step 5: Solve for x
    x = 271,730.38/715.47
  6. Step 6: Final answer
    x = 379.79

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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.