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Finding the Fourth Proportional to 1,771.02, 2,656.62 and 797.22

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Solution

The fourth proportional to 1,771.02, 2,656.62 and 797.22 is: 1,195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.02 : 2,656.62 = 797.22 : x
  2. Step 2: Convert to fraction form
    1,771.02/2,656.62 = 797.22/x
  3. Step 3: Cross multiply
    1,771.02x = 2,656.62 × 797.22
  4. Step 4: Simplify right side
    1,771.02x = 2,117,910.60
  5. Step 5: Solve for x
    x = 2,117,910.60/1,771.02
  6. Step 6: Final answer
    x = 1,195.87

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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.