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Finding the Fourth Proportional to 1,685.62, 2,528.79 and 589.96

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Solution

The fourth proportional to 1,685.62, 2,528.79 and 589.96 is: 885.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.62 : 2,528.79 = 589.96 : x
  2. Step 2: Convert to fraction form
    1,685.62/2,528.79 = 589.96/x
  3. Step 3: Cross multiply
    1,685.62x = 2,528.79 × 589.96
  4. Step 4: Simplify right side
    1,685.62x = 1,491,883.76
  5. Step 5: Solve for x
    x = 1,491,883.76/1,685.62
  6. Step 6: Final answer
    x = 885.06

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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.