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Finding the Fourth Proportional to 792.37, 1,186.98 and 724.69

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Solution

The fourth proportional to 792.37, 1,186.98 and 724.69 is: 1,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.37 : 1,186.98 = 724.69 : x
  2. Step 2: Convert to fraction form
    792.37/1,186.98 = 724.69/x
  3. Step 3: Cross multiply
    792.37x = 1,186.98 × 724.69
  4. Step 4: Simplify right side
    792.37x = 860,192.54
  5. Step 5: Solve for x
    x = 860,192.54/792.37
  6. Step 6: Final answer
    x = 1,085.59

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Why These Related Problems?

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