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Finding the Fourth Proportional to 886.77, 1,328.34 and 423.14

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Solution

The fourth proportional to 886.77, 1,328.34 and 423.14 is: 633.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.77 : 1,328.34 = 423.14 : x
  2. Step 2: Convert to fraction form
    886.77/1,328.34 = 423.14/x
  3. Step 3: Cross multiply
    886.77x = 1,328.34 × 423.14
  4. Step 4: Simplify right side
    886.77x = 562,067.15
  5. Step 5: Solve for x
    x = 562,067.15/886.77
  6. Step 6: Final answer
    x = 633.84

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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.