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Finding the Fourth Proportional to 837.02, 1,255.20 and 289.05

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Solution

The fourth proportional to 837.02, 1,255.20 and 289.05 is: 433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.02 : 1,255.20 = 289.05 : x
  2. Step 2: Convert to fraction form
    837.02/1,255.20 = 289.05/x
  3. Step 3: Cross multiply
    837.02x = 1,255.20 × 289.05
  4. Step 4: Simplify right side
    837.02x = 362,815.56
  5. Step 5: Solve for x
    x = 362,815.56/837.02
  6. Step 6: Final answer
    x = 433.46

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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.