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Finding the Fourth Proportional to 811.84, 1,218.22 and 538.08

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Solution

The fourth proportional to 811.84, 1,218.22 and 538.08 is: 807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.84 : 1,218.22 = 538.08 : x
  2. Step 2: Convert to fraction form
    811.84/1,218.22 = 538.08/x
  3. Step 3: Cross multiply
    811.84x = 1,218.22 × 538.08
  4. Step 4: Simplify right side
    811.84x = 655,499.82
  5. Step 5: Solve for x
    x = 655,499.82/811.84
  6. Step 6: Final answer
    x = 807.42

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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.