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Finding the Fourth Proportional to 1,685.62, 2,528.70 and 589.87

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Solution

The fourth proportional to 1,685.62, 2,528.70 and 589.87 is: 884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.62 : 2,528.70 = 589.87 : x
  2. Step 2: Convert to fraction form
    1,685.62/2,528.70 = 589.87/x
  3. Step 3: Cross multiply
    1,685.62x = 2,528.70 × 589.87
  4. Step 4: Simplify right side
    1,685.62x = 1,491,604.27
  5. Step 5: Solve for x
    x = 1,491,604.27/1,685.62
  6. Step 6: Final answer
    x = 884.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.