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Finding the Fourth Proportional to 809.28, 1,212.68 and 602.88

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Solution

The fourth proportional to 809.28, 1,212.68 and 602.88 is: 903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.28 : 1,212.68 = 602.88 : x
  2. Step 2: Convert to fraction form
    809.28/1,212.68 = 602.88/x
  3. Step 3: Cross multiply
    809.28x = 1,212.68 × 602.88
  4. Step 4: Simplify right side
    809.28x = 731,100.52
  5. Step 5: Solve for x
    x = 731,100.52/809.28
  6. Step 6: Final answer
    x = 903.40

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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.