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Finding the Fourth Proportional to 801.15, 1,105.57 and 451.83

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Solution

The fourth proportional to 801.15, 1,105.57 and 451.83 is: 623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.15 : 1,105.57 = 451.83 : x
  2. Step 2: Convert to fraction form
    801.15/1,105.57 = 451.83/x
  3. Step 3: Cross multiply
    801.15x = 1,105.57 × 451.83
  4. Step 4: Simplify right side
    801.15x = 499,529.69
  5. Step 5: Solve for x
    x = 499,529.69/801.15
  6. Step 6: Final answer
    x = 623.52

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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.