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Finding the Fourth Proportional to 771.96, 1,065.01 and 506.55

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Solution

The fourth proportional to 771.96, 1,065.01 and 506.55 is: 698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.96 : 1,065.01 = 506.55 : x
  2. Step 2: Convert to fraction form
    771.96/1,065.01 = 506.55/x
  3. Step 3: Cross multiply
    771.96x = 1,065.01 × 506.55
  4. Step 4: Simplify right side
    771.96x = 539,478.09
  5. Step 5: Solve for x
    x = 539,478.09/771.96
  6. Step 6: Final answer
    x = 698.84

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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.