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Finding the Fourth Proportional to 1,769.58, 2,654.78 and 599.52

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Solution

The fourth proportional to 1,769.58, 2,654.78 and 599.52 is: 899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.58 : 2,654.78 = 599.52 : x
  2. Step 2: Convert to fraction form
    1,769.58/2,654.78 = 599.52/x
  3. Step 3: Cross multiply
    1,769.58x = 2,654.78 × 599.52
  4. Step 4: Simplify right side
    1,769.58x = 1,591,593.71
  5. Step 5: Solve for x
    x = 1,591,593.71/1,769.58
  6. Step 6: Final answer
    x = 899.42

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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.