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Finding the Fourth Proportional to 789.26, 1,088.64 and 523.76

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Solution

The fourth proportional to 789.26, 1,088.64 and 523.76 is: 722.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.26 : 1,088.64 = 523.76 : x
  2. Step 2: Convert to fraction form
    789.26/1,088.64 = 523.76/x
  3. Step 3: Cross multiply
    789.26x = 1,088.64 × 523.76
  4. Step 4: Simplify right side
    789.26x = 570,180.64
  5. Step 5: Solve for x
    x = 570,180.64/789.26
  6. Step 6: Final answer
    x = 722.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.