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Finding the Fourth Proportional to 912.19, 1,367.34 and 448.96

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Solution

The fourth proportional to 912.19, 1,367.34 and 448.96 is: 672.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.19 : 1,367.34 = 448.96 : x
  2. Step 2: Convert to fraction form
    912.19/1,367.34 = 448.96/x
  3. Step 3: Cross multiply
    912.19x = 1,367.34 × 448.96
  4. Step 4: Simplify right side
    912.19x = 613,880.97
  5. Step 5: Solve for x
    x = 613,880.97/912.19
  6. Step 6: Final answer
    x = 672.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.