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Finding the Fourth Proportional to 881.11, 1,321.63 and 288.13

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Solution

The fourth proportional to 881.11, 1,321.63 and 288.13 is: 432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.11 : 1,321.63 = 288.13 : x
  2. Step 2: Convert to fraction form
    881.11/1,321.63 = 288.13/x
  3. Step 3: Cross multiply
    881.11x = 1,321.63 × 288.13
  4. Step 4: Simplify right side
    881.11x = 380,801.33
  5. Step 5: Solve for x
    x = 380,801.33/881.11
  6. Step 6: Final answer
    x = 432.18

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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.