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Finding the Fourth Proportional to 800.81, 1,105.13 and 451.58

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Solution

The fourth proportional to 800.81, 1,105.13 and 451.58 is: 623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.81 : 1,105.13 = 451.58 : x
  2. Step 2: Convert to fraction form
    800.81/1,105.13 = 451.58/x
  3. Step 3: Cross multiply
    800.81x = 1,105.13 × 451.58
  4. Step 4: Simplify right side
    800.81x = 499,050.21
  5. Step 5: Solve for x
    x = 499,050.21/800.81
  6. Step 6: Final answer
    x = 623.19

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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.