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Finding the Fourth Proportional to 885.40, 1,328.94 and 423.43

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Solution

The fourth proportional to 885.40, 1,328.94 and 423.43 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.40 : 1,328.94 = 423.43 : x
  2. Step 2: Convert to fraction form
    885.40/1,328.94 = 423.43/x
  3. Step 3: Cross multiply
    885.40x = 1,328.94 × 423.43
  4. Step 4: Simplify right side
    885.40x = 562,709.74
  5. Step 5: Solve for x
    x = 562,709.74/885.40
  6. Step 6: Final answer
    x = 635.54

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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.