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Finding the Fourth Proportional to 885.61, 1,327.57 and 423.27

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Solution

The fourth proportional to 885.61, 1,327.57 and 423.27 is: 634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.61 : 1,327.57 = 423.27 : x
  2. Step 2: Convert to fraction form
    885.61/1,327.57 = 423.27/x
  3. Step 3: Cross multiply
    885.61x = 1,327.57 × 423.27
  4. Step 4: Simplify right side
    885.61x = 561,911.80
  5. Step 5: Solve for x
    x = 561,911.80/885.61
  6. Step 6: Final answer
    x = 634.49

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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.