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Finding the Fourth Proportional to 1,769.63, 2,654.38 and 599.72

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Solution

The fourth proportional to 1,769.63, 2,654.38 and 599.72 is: 899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.63 : 2,654.38 = 599.72 : x
  2. Step 2: Convert to fraction form
    1,769.63/2,654.38 = 599.72/x
  3. Step 3: Cross multiply
    1,769.63x = 2,654.38 × 599.72
  4. Step 4: Simplify right side
    1,769.63x = 1,591,881.78
  5. Step 5: Solve for x
    x = 1,591,881.78/1,769.63
  6. Step 6: Final answer
    x = 899.56

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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.