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Finding the Fourth Proportional to 835.48, 1,253.26 and 402.96

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Solution

The fourth proportional to 835.48, 1,253.26 and 402.96 is: 604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.48 : 1,253.26 = 402.96 : x
  2. Step 2: Convert to fraction form
    835.48/1,253.26 = 402.96/x
  3. Step 3: Cross multiply
    835.48x = 1,253.26 × 402.96
  4. Step 4: Simplify right side
    835.48x = 505,013.65
  5. Step 5: Solve for x
    x = 505,013.65/835.48
  6. Step 6: Final answer
    x = 604.46

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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.