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Finding the Fourth Proportional to 835.74, 1,253.21 and 402.39

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Solution

The fourth proportional to 835.74, 1,253.21 and 402.39 is: 603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.74 : 1,253.21 = 402.39 : x
  2. Step 2: Convert to fraction form
    835.74/1,253.21 = 402.39/x
  3. Step 3: Cross multiply
    835.74x = 1,253.21 × 402.39
  4. Step 4: Simplify right side
    835.74x = 504,277.16
  5. Step 5: Solve for x
    x = 504,277.16/835.74
  6. Step 6: Final answer
    x = 603.39

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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.