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Finding the Fourth Proportional to 1,348.67, 2,022.98 and 655.22

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Solution

The fourth proportional to 1,348.67, 2,022.98 and 655.22 is: 982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.67 : 2,022.98 = 655.22 : x
  2. Step 2: Convert to fraction form
    1,348.67/2,022.98 = 655.22/x
  3. Step 3: Cross multiply
    1,348.67x = 2,022.98 × 655.22
  4. Step 4: Simplify right side
    1,348.67x = 1,325,483.56
  5. Step 5: Solve for x
    x = 1,325,483.56/1,348.67
  6. Step 6: Final answer
    x = 982.81

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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.