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Finding the Fourth Proportional to 799.19, 1,101.80 and 533.64

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Solution

The fourth proportional to 799.19, 1,101.80 and 533.64 is: 735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.19 : 1,101.80 = 533.64 : x
  2. Step 2: Convert to fraction form
    799.19/1,101.80 = 533.64/x
  3. Step 3: Cross multiply
    799.19x = 1,101.80 × 533.64
  4. Step 4: Simplify right side
    799.19x = 587,964.55
  5. Step 5: Solve for x
    x = 587,964.55/799.19
  6. Step 6: Final answer
    x = 735.70

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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.