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Finding the Fourth Proportional to 566.06, 779.14 and 506.83

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Solution

The fourth proportional to 566.06, 779.14 and 506.83 is: 697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.06 : 779.14 = 506.83 : x
  2. Step 2: Convert to fraction form
    566.06/779.14 = 506.83/x
  3. Step 3: Cross multiply
    566.06x = 779.14 × 506.83
  4. Step 4: Simplify right side
    566.06x = 394,891.53
  5. Step 5: Solve for x
    x = 394,891.53/566.06
  6. Step 6: Final answer
    x = 697.61

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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.