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Finding the Fourth Proportional to 1,348.88, 2,022.94 and 374.76

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Solution

The fourth proportional to 1,348.88, 2,022.94 and 374.76 is: 562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.88 : 2,022.94 = 374.76 : x
  2. Step 2: Convert to fraction form
    1,348.88/2,022.94 = 374.76/x
  3. Step 3: Cross multiply
    1,348.88x = 2,022.94 × 374.76
  4. Step 4: Simplify right side
    1,348.88x = 758,116.99
  5. Step 5: Solve for x
    x = 758,116.99/1,348.88
  6. Step 6: Final answer
    x = 562.03

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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.