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Finding the Fourth Proportional to 807.12, 1,209.69 and 533.25

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Solution

The fourth proportional to 807.12, 1,209.69 and 533.25 is: 799.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.12 : 1,209.69 = 533.25 : x
  2. Step 2: Convert to fraction form
    807.12/1,209.69 = 533.25/x
  3. Step 3: Cross multiply
    807.12x = 1,209.69 × 533.25
  4. Step 4: Simplify right side
    807.12x = 645,067.19
  5. Step 5: Solve for x
    x = 645,067.19/807.12
  6. Step 6: Final answer
    x = 799.22

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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.