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Finding the Fourth Proportional to 1,385.98, 2,076.17 and 799.29

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Solution

The fourth proportional to 1,385.98, 2,076.17 and 799.29 is: 1,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.98 : 2,076.17 = 799.29 : x
  2. Step 2: Convert to fraction form
    1,385.98/2,076.17 = 799.29/x
  3. Step 3: Cross multiply
    1,385.98x = 2,076.17 × 799.29
  4. Step 4: Simplify right side
    1,385.98x = 1,659,457.92
  5. Step 5: Solve for x
    x = 1,659,457.92/1,385.98
  6. Step 6: Final answer
    x = 1,197.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.