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Finding the Fourth Proportional to 1,023.66, 1,531.83 and 804.96

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Solution

The fourth proportional to 1,023.66, 1,531.83 and 804.96 is: 1,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.66 : 1,531.83 = 804.96 : x
  2. Step 2: Convert to fraction form
    1,023.66/1,531.83 = 804.96/x
  3. Step 3: Cross multiply
    1,023.66x = 1,531.83 × 804.96
  4. Step 4: Simplify right side
    1,023.66x = 1,233,061.88
  5. Step 5: Solve for x
    x = 1,233,061.88/1,023.66
  6. Step 6: Final answer
    x = 1,204.56

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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.