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Finding the Fourth Proportional to 837.48, 1,255.34 and 289.48

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Solution

The fourth proportional to 837.48, 1,255.34 and 289.48 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.48 : 1,255.34 = 289.48 : x
  2. Step 2: Convert to fraction form
    837.48/1,255.34 = 289.48/x
  3. Step 3: Cross multiply
    837.48x = 1,255.34 × 289.48
  4. Step 4: Simplify right side
    837.48x = 363,395.82
  5. Step 5: Solve for x
    x = 363,395.82/837.48
  6. Step 6: Final answer
    x = 433.92

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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.