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Finding the Fourth Proportional to 804.52, 1,204.73 and 674.17

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Solution

The fourth proportional to 804.52, 1,204.73 and 674.17 is: 1,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.52 : 1,204.73 = 674.17 : x
  2. Step 2: Convert to fraction form
    804.52/1,204.73 = 674.17/x
  3. Step 3: Cross multiply
    804.52x = 1,204.73 × 674.17
  4. Step 4: Simplify right side
    804.52x = 812,195.84
  5. Step 5: Solve for x
    x = 812,195.84/804.52
  6. Step 6: Final answer
    x = 1,009.55

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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.