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Finding the Fourth Proportional to 885.42, 1,327.86 and 422.94

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Solution

The fourth proportional to 885.42, 1,327.86 and 422.94 is: 634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.42 : 1,327.86 = 422.94 : x
  2. Step 2: Convert to fraction form
    885.42/1,327.86 = 422.94/x
  3. Step 3: Cross multiply
    885.42x = 1,327.86 × 422.94
  4. Step 4: Simplify right side
    885.42x = 561,605.11
  5. Step 5: Solve for x
    x = 561,605.11/885.42
  6. Step 6: Final answer
    x = 634.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.