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Finding the Fourth Proportional to 776.34, 1,071.34 and 422.27

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Solution

The fourth proportional to 776.34, 1,071.34 and 422.27 is: 582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.34 : 1,071.34 = 422.27 : x
  2. Step 2: Convert to fraction form
    776.34/1,071.34 = 422.27/x
  3. Step 3: Cross multiply
    776.34x = 1,071.34 × 422.27
  4. Step 4: Simplify right side
    776.34x = 452,394.74
  5. Step 5: Solve for x
    x = 452,394.74/776.34
  6. Step 6: Final answer
    x = 582.73

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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.