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Finding the Fourth Proportional to 1,990.70, 2,986.18 and 529.83

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Solution

The fourth proportional to 1,990.70, 2,986.18 and 529.83 is: 794.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.70 : 2,986.18 = 529.83 : x
  2. Step 2: Convert to fraction form
    1,990.70/2,986.18 = 529.83/x
  3. Step 3: Cross multiply
    1,990.70x = 2,986.18 × 529.83
  4. Step 4: Simplify right side
    1,990.70x = 1,582,167.75
  5. Step 5: Solve for x
    x = 1,582,167.75/1,990.70
  6. Step 6: Final answer
    x = 794.78

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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.