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Finding the Fourth Proportional to 800.76, 1,202.04 and 620.33

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Solution

The fourth proportional to 800.76, 1,202.04 and 620.33 is: 931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.76 : 1,202.04 = 620.33 : x
  2. Step 2: Convert to fraction form
    800.76/1,202.04 = 620.33/x
  3. Step 3: Cross multiply
    800.76x = 1,202.04 × 620.33
  4. Step 4: Simplify right side
    800.76x = 745,661.47
  5. Step 5: Solve for x
    x = 745,661.47/800.76
  6. Step 6: Final answer
    x = 931.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.