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Finding the Fourth Proportional to 881.04, 1,214.72 and 723.12

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Solution

The fourth proportional to 881.04, 1,214.72 and 723.12 is: 996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.04 : 1,214.72 = 723.12 : x
  2. Step 2: Convert to fraction form
    881.04/1,214.72 = 723.12/x
  3. Step 3: Cross multiply
    881.04x = 1,214.72 × 723.12
  4. Step 4: Simplify right side
    881.04x = 878,388.33
  5. Step 5: Solve for x
    x = 878,388.33/881.04
  6. Step 6: Final answer
    x = 996.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.