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Finding the Fourth Proportional to 1,496.75, 2,244.58 and 716.72

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Solution

The fourth proportional to 1,496.75, 2,244.58 and 716.72 is: 1,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.75 : 2,244.58 = 716.72 : x
  2. Step 2: Convert to fraction form
    1,496.75/2,244.58 = 716.72/x
  3. Step 3: Cross multiply
    1,496.75x = 2,244.58 × 716.72
  4. Step 4: Simplify right side
    1,496.75x = 1,608,722.36
  5. Step 5: Solve for x
    x = 1,608,722.36/1,496.75
  6. Step 6: Final answer
    x = 1,074.81

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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.