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Finding the Fourth Proportional to 1,348.66, 2,022.99 and 374.80

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Solution

The fourth proportional to 1,348.66, 2,022.99 and 374.80 is: 562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.66 : 2,022.99 = 374.80 : x
  2. Step 2: Convert to fraction form
    1,348.66/2,022.99 = 374.80/x
  3. Step 3: Cross multiply
    1,348.66x = 2,022.99 × 374.80
  4. Step 4: Simplify right side
    1,348.66x = 758,204.66
  5. Step 5: Solve for x
    x = 758,204.66/1,348.66
  6. Step 6: Final answer
    x = 562.19

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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.