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Finding the Fourth Proportional to 1,690.44, 2,535.68 and 594.56

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Solution

The fourth proportional to 1,690.44, 2,535.68 and 594.56 is: 891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.44 : 2,535.68 = 594.56 : x
  2. Step 2: Convert to fraction form
    1,690.44/2,535.68 = 594.56/x
  3. Step 3: Cross multiply
    1,690.44x = 2,535.68 × 594.56
  4. Step 4: Simplify right side
    1,690.44x = 1,507,613.90
  5. Step 5: Solve for x
    x = 1,507,613.90/1,690.44
  6. Step 6: Final answer
    x = 891.85

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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.