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Finding the Fourth Proportional to 799.66, 1,103.94 and 538.12

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Solution

The fourth proportional to 799.66, 1,103.94 and 538.12 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.66 : 1,103.94 = 538.12 : x
  2. Step 2: Convert to fraction form
    799.66/1,103.94 = 538.12/x
  3. Step 3: Cross multiply
    799.66x = 1,103.94 × 538.12
  4. Step 4: Simplify right side
    799.66x = 594,052.19
  5. Step 5: Solve for x
    x = 594,052.19/799.66
  6. Step 6: Final answer
    x = 742.88

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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.