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Finding the Fourth Proportional to 884.82, 1,327.76 and 495.08

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Solution

The fourth proportional to 884.82, 1,327.76 and 495.08 is: 742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.82 : 1,327.76 = 495.08 : x
  2. Step 2: Convert to fraction form
    884.82/1,327.76 = 495.08/x
  3. Step 3: Cross multiply
    884.82x = 1,327.76 × 495.08
  4. Step 4: Simplify right side
    884.82x = 657,345.14
  5. Step 5: Solve for x
    x = 657,345.14/884.82
  6. Step 6: Final answer
    x = 742.91

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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.