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Finding the Fourth Proportional to 892.63, 1,338.13 and 458.88

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Solution

The fourth proportional to 892.63, 1,338.13 and 458.88 is: 687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.63 : 1,338.13 = 458.88 : x
  2. Step 2: Convert to fraction form
    892.63/1,338.13 = 458.88/x
  3. Step 3: Cross multiply
    892.63x = 1,338.13 × 458.88
  4. Step 4: Simplify right side
    892.63x = 614,041.09
  5. Step 5: Solve for x
    x = 614,041.09/892.63
  6. Step 6: Final answer
    x = 687.90

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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.