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Finding the Fourth Proportional to 912.53, 1,369.03 and 263.27

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Solution

The fourth proportional to 912.53, 1,369.03 and 263.27 is: 394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.53 : 1,369.03 = 263.27 : x
  2. Step 2: Convert to fraction form
    912.53/1,369.03 = 263.27/x
  3. Step 3: Cross multiply
    912.53x = 1,369.03 × 263.27
  4. Step 4: Simplify right side
    912.53x = 360,424.53
  5. Step 5: Solve for x
    x = 360,424.53/912.53
  6. Step 6: Final answer
    x = 394.97

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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.