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Finding the Fourth Proportional to 1,811.25, 2,716.88 and 657.27

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Solution

The fourth proportional to 1,811.25, 2,716.88 and 657.27 is: 985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.25 : 2,716.88 = 657.27 : x
  2. Step 2: Convert to fraction form
    1,811.25/2,716.88 = 657.27/x
  3. Step 3: Cross multiply
    1,811.25x = 2,716.88 × 657.27
  4. Step 4: Simplify right side
    1,811.25x = 1,785,720.43
  5. Step 5: Solve for x
    x = 1,785,720.43/1,811.25
  6. Step 6: Final answer
    x = 985.91

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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.