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Finding the Fourth Proportional to 1,348.61, 2,022.69 and 374.81

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Solution

The fourth proportional to 1,348.61, 2,022.69 and 374.81 is: 562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.61 : 2,022.69 = 374.81 : x
  2. Step 2: Convert to fraction form
    1,348.61/2,022.69 = 374.81/x
  3. Step 3: Cross multiply
    1,348.61x = 2,022.69 × 374.81
  4. Step 4: Simplify right side
    1,348.61x = 758,124.44
  5. Step 5: Solve for x
    x = 758,124.44/1,348.61
  6. Step 6: Final answer
    x = 562.15

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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.