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Finding the Fourth Proportional to 807.90, 1,211.87 and 287.98

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Solution

The fourth proportional to 807.90, 1,211.87 and 287.98 is: 431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.90 : 1,211.87 = 287.98 : x
  2. Step 2: Convert to fraction form
    807.90/1,211.87 = 287.98/x
  3. Step 3: Cross multiply
    807.90x = 1,211.87 × 287.98
  4. Step 4: Simplify right side
    807.90x = 348,994.32
  5. Step 5: Solve for x
    x = 348,994.32/807.90
  6. Step 6: Final answer
    x = 431.98

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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.