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Finding the Fourth Proportional to 835.08, 1,152 and 724.38

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Solution

The fourth proportional to 835.08, 1,152 and 724.38 is: 999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.08 : 1,152 = 724.38 : x
  2. Step 2: Convert to fraction form
    835.08/1,152 = 724.38/x
  3. Step 3: Cross multiply
    835.08x = 1,152 × 724.38
  4. Step 4: Simplify right side
    835.08x = 834,485.76
  5. Step 5: Solve for x
    x = 834,485.76/835.08
  6. Step 6: Final answer
    x = 999.29

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Why These Related Problems?

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