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Finding the Fourth Proportional to 1,685.38, 2,529.23 and 589.75

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Solution

The fourth proportional to 1,685.38, 2,529.23 and 589.75 is: 885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.38 : 2,529.23 = 589.75 : x
  2. Step 2: Convert to fraction form
    1,685.38/2,529.23 = 589.75/x
  3. Step 3: Cross multiply
    1,685.38x = 2,529.23 × 589.75
  4. Step 4: Simplify right side
    1,685.38x = 1,491,613.39
  5. Step 5: Solve for x
    x = 1,491,613.39/1,685.38
  6. Step 6: Final answer
    x = 885.03

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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.