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Finding the Fourth Proportional to 835.92, 1,153.85 and 537.44

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Solution

The fourth proportional to 835.92, 1,153.85 and 537.44 is: 741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.92 : 1,153.85 = 537.44 : x
  2. Step 2: Convert to fraction form
    835.92/1,153.85 = 537.44/x
  3. Step 3: Cross multiply
    835.92x = 1,153.85 × 537.44
  4. Step 4: Simplify right side
    835.92x = 620,116.69
  5. Step 5: Solve for x
    x = 620,116.69/835.92
  6. Step 6: Final answer
    x = 741.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.