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Finding the Fourth Proportional to 677.72, 932.22 and 565.63

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Solution

The fourth proportional to 677.72, 932.22 and 565.63 is: 778.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.72 : 932.22 = 565.63 : x
  2. Step 2: Convert to fraction form
    677.72/932.22 = 565.63/x
  3. Step 3: Cross multiply
    677.72x = 932.22 × 565.63
  4. Step 4: Simplify right side
    677.72x = 527,289.27
  5. Step 5: Solve for x
    x = 527,289.27/677.72
  6. Step 6: Final answer
    x = 778.03

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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.