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Finding the Fourth Proportional to 728.27, 1,091.19 and 583.69

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Solution

The fourth proportional to 728.27, 1,091.19 and 583.69 is: 874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.27 : 1,091.19 = 583.69 : x
  2. Step 2: Convert to fraction form
    728.27/1,091.19 = 583.69/x
  3. Step 3: Cross multiply
    728.27x = 1,091.19 × 583.69
  4. Step 4: Simplify right side
    728.27x = 636,916.69
  5. Step 5: Solve for x
    x = 636,916.69/728.27
  6. Step 6: Final answer
    x = 874.56

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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.