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Finding the Fourth Proportional to 1,213.22, 1,816.86 and 691.94

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Solution

The fourth proportional to 1,213.22, 1,816.86 and 691.94 is: 1,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.22 : 1,816.86 = 691.94 : x
  2. Step 2: Convert to fraction form
    1,213.22/1,816.86 = 691.94/x
  3. Step 3: Cross multiply
    1,213.22x = 1,816.86 × 691.94
  4. Step 4: Simplify right side
    1,213.22x = 1,257,158.11
  5. Step 5: Solve for x
    x = 1,257,158.11/1,213.22
  6. Step 6: Final answer
    x = 1,036.22

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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.