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Finding the Fourth Proportional to 762.54, 1,143.54 and 268.82

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Solution

The fourth proportional to 762.54, 1,143.54 and 268.82 is: 403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.54 : 1,143.54 = 268.82 : x
  2. Step 2: Convert to fraction form
    762.54/1,143.54 = 268.82/x
  3. Step 3: Cross multiply
    762.54x = 1,143.54 × 268.82
  4. Step 4: Simplify right side
    762.54x = 307,399.36
  5. Step 5: Solve for x
    x = 307,399.36/762.54
  6. Step 6: Final answer
    x = 403.13

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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.