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Finding the Fourth Proportional to 772.81, 1,065.96 and 506.73

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Solution

The fourth proportional to 772.81, 1,065.96 and 506.73 is: 698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.81 : 1,065.96 = 506.73 : x
  2. Step 2: Convert to fraction form
    772.81/1,065.96 = 506.73/x
  3. Step 3: Cross multiply
    772.81x = 1,065.96 × 506.73
  4. Step 4: Simplify right side
    772.81x = 540,153.91
  5. Step 5: Solve for x
    x = 540,153.91/772.81
  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.