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Finding the Fourth Proportional to 762, 1,143.12 and 249.12

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Solution

The fourth proportional to 762, 1,143.12 and 249.12 is: 373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762 : 1,143.12 = 249.12 : x
  2. Step 2: Convert to fraction form
    762/1,143.12 = 249.12/x
  3. Step 3: Cross multiply
    762x = 1,143.12 × 249.12
  4. Step 4: Simplify right side
    762x = 284,774.05
  5. Step 5: Solve for x
    x = 284,774.05/762
  6. Step 6: Final answer
    x = 373.72

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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.