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Finding the Fourth Proportional to 799.84, 1,103.48 and 538.03

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Solution

The fourth proportional to 799.84, 1,103.48 and 538.03 is: 742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.84 : 1,103.48 = 538.03 : x
  2. Step 2: Convert to fraction form
    799.84/1,103.48 = 538.03/x
  3. Step 3: Cross multiply
    799.84x = 1,103.48 × 538.03
  4. Step 4: Simplify right side
    799.84x = 593,697.14
  5. Step 5: Solve for x
    x = 593,697.14/799.84
  6. Step 6: Final answer
    x = 742.27

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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.