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Finding the Fourth Proportional to 912.75, 1,369.13 and 263.49

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Solution

The fourth proportional to 912.75, 1,369.13 and 263.49 is: 395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.75 : 1,369.13 = 263.49 : x
  2. Step 2: Convert to fraction form
    912.75/1,369.13 = 263.49/x
  3. Step 3: Cross multiply
    912.75x = 1,369.13 × 263.49
  4. Step 4: Simplify right side
    912.75x = 360,752.72
  5. Step 5: Solve for x
    x = 360,752.72/912.75
  6. Step 6: Final answer
    x = 395.24

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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.