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Finding the Fourth Proportional to 728.74, 1,003.90 and 541.91

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Solution

The fourth proportional to 728.74, 1,003.90 and 541.91 is: 746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.74 : 1,003.90 = 541.91 : x
  2. Step 2: Convert to fraction form
    728.74/1,003.90 = 541.91/x
  3. Step 3: Cross multiply
    728.74x = 1,003.90 × 541.91
  4. Step 4: Simplify right side
    728.74x = 544,020.74
  5. Step 5: Solve for x
    x = 544,020.74/728.74
  6. Step 6: Final answer
    x = 746.52

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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.