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Finding the Fourth Proportional to 728.16, 1,003.32 and 580.56

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Solution

The fourth proportional to 728.16, 1,003.32 and 580.56 is: 799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.16 : 1,003.32 = 580.56 : x
  2. Step 2: Convert to fraction form
    728.16/1,003.32 = 580.56/x
  3. Step 3: Cross multiply
    728.16x = 1,003.32 × 580.56
  4. Step 4: Simplify right side
    728.16x = 582,487.46
  5. Step 5: Solve for x
    x = 582,487.46/728.16
  6. Step 6: Final answer
    x = 799.94

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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.