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Finding the Fourth Proportional to 771.70, 1,065.02 and 523.54

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Solution

The fourth proportional to 771.70, 1,065.02 and 523.54 is: 722.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.70 : 1,065.02 = 523.54 : x
  2. Step 2: Convert to fraction form
    771.70/1,065.02 = 523.54/x
  3. Step 3: Cross multiply
    771.70x = 1,065.02 × 523.54
  4. Step 4: Simplify right side
    771.70x = 557,580.57
  5. Step 5: Solve for x
    x = 557,580.57/771.70
  6. Step 6: Final answer
    x = 722.54

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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.