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Finding the Fourth Proportional to 800.94, 1,199.25 and 669.90

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Solution

The fourth proportional to 800.94, 1,199.25 and 669.90 is: 1,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.94 : 1,199.25 = 669.90 : x
  2. Step 2: Convert to fraction form
    800.94/1,199.25 = 669.90/x
  3. Step 3: Cross multiply
    800.94x = 1,199.25 × 669.90
  4. Step 4: Simplify right side
    800.94x = 803,377.58
  5. Step 5: Solve for x
    x = 803,377.58/800.94
  6. Step 6: Final answer
    x = 1,003.04

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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.