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Finding the Fourth Proportional to 892.73, 1,338.02 and 459.65

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Solution

The fourth proportional to 892.73, 1,338.02 and 459.65 is: 688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.73 : 1,338.02 = 459.65 : x
  2. Step 2: Convert to fraction form
    892.73/1,338.02 = 459.65/x
  3. Step 3: Cross multiply
    892.73x = 1,338.02 × 459.65
  4. Step 4: Simplify right side
    892.73x = 615,018.59
  5. Step 5: Solve for x
    x = 615,018.59/892.73
  6. Step 6: Final answer
    x = 688.92

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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.