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Finding the Fourth Proportional to 881.18, 1,214.61 and 694.36

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Solution

The fourth proportional to 881.18, 1,214.61 and 694.36 is: 957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.18 : 1,214.61 = 694.36 : x
  2. Step 2: Convert to fraction form
    881.18/1,214.61 = 694.36/x
  3. Step 3: Cross multiply
    881.18x = 1,214.61 × 694.36
  4. Step 4: Simplify right side
    881.18x = 843,370.53
  5. Step 5: Solve for x
    x = 843,370.53/881.18
  6. Step 6: Final answer
    x = 957.10

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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.