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Finding the Fourth Proportional to 1,685.64, 2,528.82 and 820.44

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Solution

The fourth proportional to 1,685.64, 2,528.82 and 820.44 is: 1,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.64 : 2,528.82 = 820.44 : x
  2. Step 2: Convert to fraction form
    1,685.64/2,528.82 = 820.44/x
  3. Step 3: Cross multiply
    1,685.64x = 2,528.82 × 820.44
  4. Step 4: Simplify right side
    1,685.64x = 2,074,745.08
  5. Step 5: Solve for x
    x = 2,074,745.08/1,685.64
  6. Step 6: Final answer
    x = 1,230.84

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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.