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Finding the Fourth Proportional to 762.44, 1,143.83 and 242.47

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Solution

The fourth proportional to 762.44, 1,143.83 and 242.47 is: 363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.44 : 1,143.83 = 242.47 : x
  2. Step 2: Convert to fraction form
    762.44/1,143.83 = 242.47/x
  3. Step 3: Cross multiply
    762.44x = 1,143.83 × 242.47
  4. Step 4: Simplify right side
    762.44x = 277,344.46
  5. Step 5: Solve for x
    x = 277,344.46/762.44
  6. Step 6: Final answer
    x = 363.76

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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.