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Finding the Fourth Proportional to 807.39, 1,211.09 and 535.21

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Solution

The fourth proportional to 807.39, 1,211.09 and 535.21 is: 802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.39 : 1,211.09 = 535.21 : x
  2. Step 2: Convert to fraction form
    807.39/1,211.09 = 535.21/x
  3. Step 3: Cross multiply
    807.39x = 1,211.09 × 535.21
  4. Step 4: Simplify right side
    807.39x = 648,181.78
  5. Step 5: Solve for x
    x = 648,181.78/807.39
  6. Step 6: Final answer
    x = 802.81

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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.