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Finding the Fourth Proportional to 771.96, 1,064.91 and 523.20

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Solution

The fourth proportional to 771.96, 1,064.91 and 523.20 is: 721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.96 : 1,064.91 = 523.20 : x
  2. Step 2: Convert to fraction form
    771.96/1,064.91 = 523.20/x
  3. Step 3: Cross multiply
    771.96x = 1,064.91 × 523.20
  4. Step 4: Simplify right side
    771.96x = 557,160.91
  5. Step 5: Solve for x
    x = 557,160.91/771.96
  6. Step 6: Final answer
    x = 721.75

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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.