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Finding the Fourth Proportional to 837.40, 1,256.20 and 404.25

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Solution

The fourth proportional to 837.40, 1,256.20 and 404.25 is: 606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.40 : 1,256.20 = 404.25 : x
  2. Step 2: Convert to fraction form
    837.40/1,256.20 = 404.25/x
  3. Step 3: Cross multiply
    837.40x = 1,256.20 × 404.25
  4. Step 4: Simplify right side
    837.40x = 507,817.84
  5. Step 5: Solve for x
    x = 507,817.84/837.40
  6. Step 6: Final answer
    x = 606.42

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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.