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Finding the Fourth Proportional to 837.48, 1,256.02 and 350.54

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Solution

The fourth proportional to 837.48, 1,256.02 and 350.54 is: 525.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.48 : 1,256.02 = 350.54 : x
  2. Step 2: Convert to fraction form
    837.48/1,256.02 = 350.54/x
  3. Step 3: Cross multiply
    837.48x = 1,256.02 × 350.54
  4. Step 4: Simplify right side
    837.48x = 440,285.25
  5. Step 5: Solve for x
    x = 440,285.25/837.48
  6. Step 6: Final answer
    x = 525.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.