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Finding the Fourth Proportional to 730.83, 1,097.10 and 576.86

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Solution

The fourth proportional to 730.83, 1,097.10 and 576.86 is: 865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.83 : 1,097.10 = 576.86 : x
  2. Step 2: Convert to fraction form
    730.83/1,097.10 = 576.86/x
  3. Step 3: Cross multiply
    730.83x = 1,097.10 × 576.86
  4. Step 4: Simplify right side
    730.83x = 632,871.73
  5. Step 5: Solve for x
    x = 632,871.73/730.83
  6. Step 6: Final answer
    x = 865.97

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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.