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Finding the Fourth Proportional to 806.23, 1,207.51 and 788.01

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Solution

The fourth proportional to 806.23, 1,207.51 and 788.01 is: 1,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.23 : 1,207.51 = 788.01 : x
  2. Step 2: Convert to fraction form
    806.23/1,207.51 = 788.01/x
  3. Step 3: Cross multiply
    806.23x = 1,207.51 × 788.01
  4. Step 4: Simplify right side
    806.23x = 951,529.96
  5. Step 5: Solve for x
    x = 951,529.96/806.23
  6. Step 6: Final answer
    x = 1,180.22

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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.