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Finding the Fourth Proportional to 1,685.41, 2,529.25 and 589.78

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Solution

The fourth proportional to 1,685.41, 2,529.25 and 589.78 is: 885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.41 : 2,529.25 = 589.78 : x
  2. Step 2: Convert to fraction form
    1,685.41/2,529.25 = 589.78/x
  3. Step 3: Cross multiply
    1,685.41x = 2,529.25 × 589.78
  4. Step 4: Simplify right side
    1,685.41x = 1,491,709.21
  5. Step 5: Solve for x
    x = 1,491,709.21/1,685.41
  6. Step 6: Final answer
    x = 885.07

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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.