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Finding the Fourth Proportional to 912.85, 1,370.63 and 523.29

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Solution

The fourth proportional to 912.85, 1,370.63 and 523.29 is: 785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.85 : 1,370.63 = 523.29 : x
  2. Step 2: Convert to fraction form
    912.85/1,370.63 = 523.29/x
  3. Step 3: Cross multiply
    912.85x = 1,370.63 × 523.29
  4. Step 4: Simplify right side
    912.85x = 717,236.97
  5. Step 5: Solve for x
    x = 717,236.97/912.85
  6. Step 6: Final answer
    x = 785.71

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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.