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Finding the Fourth Proportional to 762.69, 1,144.15 and 242.54

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Solution

The fourth proportional to 762.69, 1,144.15 and 242.54 is: 363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.69 : 1,144.15 = 242.54 : x
  2. Step 2: Convert to fraction form
    762.69/1,144.15 = 242.54/x
  3. Step 3: Cross multiply
    762.69x = 1,144.15 × 242.54
  4. Step 4: Simplify right side
    762.69x = 277,503.08
  5. Step 5: Solve for x
    x = 277,503.08/762.69
  6. Step 6: Final answer
    x = 363.85

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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.