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Finding the Fourth Proportional to 837.01, 1,255.14 and 446.94

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Solution

The fourth proportional to 837.01, 1,255.14 and 446.94 is: 670.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.01 : 1,255.14 = 446.94 : x
  2. Step 2: Convert to fraction form
    837.01/1,255.14 = 446.94/x
  3. Step 3: Cross multiply
    837.01x = 1,255.14 × 446.94
  4. Step 4: Simplify right side
    837.01x = 560,967.54
  5. Step 5: Solve for x
    x = 560,967.54/837.01
  6. Step 6: Final answer
    x = 670.21

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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.