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Finding the Fourth Proportional to 771.81, 1,065.35 and 523.04

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Solution

The fourth proportional to 771.81, 1,065.35 and 523.04 is: 721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.81 : 1,065.35 = 523.04 : x
  2. Step 2: Convert to fraction form
    771.81/1,065.35 = 523.04/x
  3. Step 3: Cross multiply
    771.81x = 1,065.35 × 523.04
  4. Step 4: Simplify right side
    771.81x = 557,212.72
  5. Step 5: Solve for x
    x = 557,212.72/771.81
  6. Step 6: Final answer
    x = 721.96

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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.