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Finding the Fourth Proportional to 772.22, 1,065.30 and 506.66

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Solution

The fourth proportional to 772.22, 1,065.30 and 506.66 is: 698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.22 : 1,065.30 = 506.66 : x
  2. Step 2: Convert to fraction form
    772.22/1,065.30 = 506.66/x
  3. Step 3: Cross multiply
    772.22x = 1,065.30 × 506.66
  4. Step 4: Simplify right side
    772.22x = 539,744.90
  5. Step 5: Solve for x
    x = 539,744.90/772.22
  6. Step 6: Final answer
    x = 698.95

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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.