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Finding the Fourth Proportional to 1,769.39, 2,654.37 and 536.75

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Solution

The fourth proportional to 1,769.39, 2,654.37 and 536.75 is: 805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.39 : 2,654.37 = 536.75 : x
  2. Step 2: Convert to fraction form
    1,769.39/2,654.37 = 536.75/x
  3. Step 3: Cross multiply
    1,769.39x = 2,654.37 × 536.75
  4. Step 4: Simplify right side
    1,769.39x = 1,424,719.83
  5. Step 5: Solve for x
    x = 1,424,719.83/1,769.39
  6. Step 6: Final answer
    x = 805.21

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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.