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Finding the Fourth Proportional to 837.80, 1,255.78 and 375.09

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Solution

The fourth proportional to 837.80, 1,255.78 and 375.09 is: 562.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.80 : 1,255.78 = 375.09 : x
  2. Step 2: Convert to fraction form
    837.80/1,255.78 = 375.09/x
  3. Step 3: Cross multiply
    837.80x = 1,255.78 × 375.09
  4. Step 4: Simplify right side
    837.80x = 471,030.52
  5. Step 5: Solve for x
    x = 471,030.52/837.80
  6. Step 6: Final answer
    x = 562.22

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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.