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Finding the Fourth Proportional to 885.15, 1,327.71 and 423.12

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Solution

The fourth proportional to 885.15, 1,327.71 and 423.12 is: 634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.15 : 1,327.71 = 423.12 : x
  2. Step 2: Convert to fraction form
    885.15/1,327.71 = 423.12/x
  3. Step 3: Cross multiply
    885.15x = 1,327.71 × 423.12
  4. Step 4: Simplify right side
    885.15x = 561,780.66
  5. Step 5: Solve for x
    x = 561,780.66/885.15
  6. Step 6: Final answer
    x = 634.67

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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.