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Finding the Fourth Proportional to 728.79, 1,093.21 and 381.93

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Solution

The fourth proportional to 728.79, 1,093.21 and 381.93 is: 572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.79 : 1,093.21 = 381.93 : x
  2. Step 2: Convert to fraction form
    728.79/1,093.21 = 381.93/x
  3. Step 3: Cross multiply
    728.79x = 1,093.21 × 381.93
  4. Step 4: Simplify right side
    728.79x = 417,529.70
  5. Step 5: Solve for x
    x = 417,529.70/728.79
  6. Step 6: Final answer
    x = 572.91

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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.