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Finding the Fourth Proportional to 874.69, 1,312.03 and 225.43

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Solution

The fourth proportional to 874.69, 1,312.03 and 225.43 is: 338.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.69 : 1,312.03 = 225.43 : x
  2. Step 2: Convert to fraction form
    874.69/1,312.03 = 225.43/x
  3. Step 3: Cross multiply
    874.69x = 1,312.03 × 225.43
  4. Step 4: Simplify right side
    874.69x = 295,764.36
  5. Step 5: Solve for x
    x = 295,764.36/874.69
  6. Step 6: Final answer
    x = 338.14

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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.