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Finding the Fourth Proportional to 811.82, 1,217.68 and 538.09

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Solution

The fourth proportional to 811.82, 1,217.68 and 538.09 is: 807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.82 : 1,217.68 = 538.09 : x
  2. Step 2: Convert to fraction form
    811.82/1,217.68 = 538.09/x
  3. Step 3: Cross multiply
    811.82x = 1,217.68 × 538.09
  4. Step 4: Simplify right side
    811.82x = 655,226.92
  5. Step 5: Solve for x
    x = 655,226.92/811.82
  6. Step 6: Final answer
    x = 807.11

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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.