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Finding the Fourth Proportional to 800.77, 1,105.07 and 451.45

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Solution

The fourth proportional to 800.77, 1,105.07 and 451.45 is: 623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.77 : 1,105.07 = 451.45 : x
  2. Step 2: Convert to fraction form
    800.77/1,105.07 = 451.45/x
  3. Step 3: Cross multiply
    800.77x = 1,105.07 × 451.45
  4. Step 4: Simplify right side
    800.77x = 498,885.05
  5. Step 5: Solve for x
    x = 498,885.05/800.77
  6. Step 6: Final answer
    x = 623.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.