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Finding the Fourth Proportional to 1,348.35, 2,022.35 and 374.37

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Solution

The fourth proportional to 1,348.35, 2,022.35 and 374.37 is: 561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.35 : 2,022.35 = 374.37 : x
  2. Step 2: Convert to fraction form
    1,348.35/2,022.35 = 374.37/x
  3. Step 3: Cross multiply
    1,348.35x = 2,022.35 × 374.37
  4. Step 4: Simplify right side
    1,348.35x = 757,105.30
  5. Step 5: Solve for x
    x = 757,105.30/1,348.35
  6. Step 6: Final answer
    x = 561.51

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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.