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Finding the Fourth Proportional to 1,690.83, 2,536.41 and 458.25

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Solution

The fourth proportional to 1,690.83, 2,536.41 and 458.25 is: 687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.83 : 2,536.41 = 458.25 : x
  2. Step 2: Convert to fraction form
    1,690.83/2,536.41 = 458.25/x
  3. Step 3: Cross multiply
    1,690.83x = 2,536.41 × 458.25
  4. Step 4: Simplify right side
    1,690.83x = 1,162,309.88
  5. Step 5: Solve for x
    x = 1,162,309.88/1,690.83
  6. Step 6: Final answer
    x = 687.42

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1.5x scale

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.