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Finding the Fourth Proportional to 772.20, 1,065.22 and 523.60

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Solution

The fourth proportional to 772.20, 1,065.22 and 523.60 is: 722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.20 : 1,065.22 = 523.60 : x
  2. Step 2: Convert to fraction form
    772.20/1,065.22 = 523.60/x
  3. Step 3: Cross multiply
    772.20x = 1,065.22 × 523.60
  4. Step 4: Simplify right side
    772.20x = 557,749.19
  5. Step 5: Solve for x
    x = 557,749.19/772.20
  6. Step 6: Final answer
    x = 722.29

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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.