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Finding the Fourth Proportional to 723.92, 999.36 and 546.96

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Solution

The fourth proportional to 723.92, 999.36 and 546.96 is: 755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.92 : 999.36 = 546.96 : x
  2. Step 2: Convert to fraction form
    723.92/999.36 = 546.96/x
  3. Step 3: Cross multiply
    723.92x = 999.36 × 546.96
  4. Step 4: Simplify right side
    723.92x = 546,609.95
  5. Step 5: Solve for x
    x = 546,609.95/723.92
  6. Step 6: Final answer
    x = 755.07

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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.