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Finding the Fourth Proportional to 912.29, 1,369.73 and 523.08

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Solution

The fourth proportional to 912.29, 1,369.73 and 523.08 is: 785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.29 : 1,369.73 = 523.08 : x
  2. Step 2: Convert to fraction form
    912.29/1,369.73 = 523.08/x
  3. Step 3: Cross multiply
    912.29x = 1,369.73 × 523.08
  4. Step 4: Simplify right side
    912.29x = 716,479.68
  5. Step 5: Solve for x
    x = 716,479.68/912.29
  6. Step 6: Final answer
    x = 785.37

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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.