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Finding the Fourth Proportional to 885.69, 1,327.97 and 423.46

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Solution

The fourth proportional to 885.69, 1,327.97 and 423.46 is: 634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.69 : 1,327.97 = 423.46 : x
  2. Step 2: Convert to fraction form
    885.69/1,327.97 = 423.46/x
  3. Step 3: Cross multiply
    885.69x = 1,327.97 × 423.46
  4. Step 4: Simplify right side
    885.69x = 562,343.70
  5. Step 5: Solve for x
    x = 562,343.70/885.69
  6. Step 6: Final answer
    x = 634.92

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