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Finding the Fourth Proportional to 807.44, 1,208.42 and 677.59

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Solution

The fourth proportional to 807.44, 1,208.42 and 677.59 is: 1,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.44 : 1,208.42 = 677.59 : x
  2. Step 2: Convert to fraction form
    807.44/1,208.42 = 677.59/x
  3. Step 3: Cross multiply
    807.44x = 1,208.42 × 677.59
  4. Step 4: Simplify right side
    807.44x = 818,803.88
  5. Step 5: Solve for x
    x = 818,803.88/807.44
  6. Step 6: Final answer
    x = 1,014.07

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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.