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Finding the Fourth Proportional to 1,685.80, 2,528.68 and 589.84

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Solution

The fourth proportional to 1,685.80, 2,528.68 and 589.84 is: 884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.80 : 2,528.68 = 589.84 : x
  2. Step 2: Convert to fraction form
    1,685.80/2,528.68 = 589.84/x
  3. Step 3: Cross multiply
    1,685.80x = 2,528.68 × 589.84
  4. Step 4: Simplify right side
    1,685.80x = 1,491,516.61
  5. Step 5: Solve for x
    x = 1,491,516.61/1,685.80
  6. Step 6: Final answer
    x = 884.75

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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.