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Finding the Fourth Proportional to 1,690.68, 2,534.60 and 650.12

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Solution

The fourth proportional to 1,690.68, 2,534.60 and 650.12 is: 974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.68 : 2,534.60 = 650.12 : x
  2. Step 2: Convert to fraction form
    1,690.68/2,534.60 = 650.12/x
  3. Step 3: Cross multiply
    1,690.68x = 2,534.60 × 650.12
  4. Step 4: Simplify right side
    1,690.68x = 1,647,794.15
  5. Step 5: Solve for x
    x = 1,647,794.15/1,690.68
  6. Step 6: Final answer
    x = 974.63

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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.