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Finding the Fourth Proportional to 677.97, 936.29 and 566.34

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Solution

The fourth proportional to 677.97, 936.29 and 566.34 is: 782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.97 : 936.29 = 566.34 : x
  2. Step 2: Convert to fraction form
    677.97/936.29 = 566.34/x
  3. Step 3: Cross multiply
    677.97x = 936.29 × 566.34
  4. Step 4: Simplify right side
    677.97x = 530,255.65
  5. Step 5: Solve for x
    x = 530,255.65/677.97
  6. Step 6: Final answer
    x = 782.12

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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.