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Finding the Fourth Proportional to 801.91, 1,202.86 and 437.41

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Solution

The fourth proportional to 801.91, 1,202.86 and 437.41 is: 656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.91 : 1,202.86 = 437.41 : x
  2. Step 2: Convert to fraction form
    801.91/1,202.86 = 437.41/x
  3. Step 3: Cross multiply
    801.91x = 1,202.86 × 437.41
  4. Step 4: Simplify right side
    801.91x = 526,136.98
  5. Step 5: Solve for x
    x = 526,136.98/801.91
  6. Step 6: Final answer
    x = 656.11

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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.