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Finding the Fourth Proportional to 1,690.25, 2,536.38 and 716.34

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Solution

The fourth proportional to 1,690.25, 2,536.38 and 716.34 is: 1,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.25 : 2,536.38 = 716.34 : x
  2. Step 2: Convert to fraction form
    1,690.25/2,536.38 = 716.34/x
  3. Step 3: Cross multiply
    1,690.25x = 2,536.38 × 716.34
  4. Step 4: Simplify right side
    1,690.25x = 1,816,910.45
  5. Step 5: Solve for x
    x = 1,816,910.45/1,690.25
  6. Step 6: Final answer
    x = 1,074.94

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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.