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Finding the Fourth Proportional to 1,066.29, 1,598.00 and 806.09

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Solution

The fourth proportional to 1,066.29, 1,598.00 and 806.09 is: 1,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.29 : 1,598.00 = 806.09 : x
  2. Step 2: Convert to fraction form
    1,066.29/1,598.00 = 806.09/x
  3. Step 3: Cross multiply
    1,066.29x = 1,598.00 × 806.09
  4. Step 4: Simplify right side
    1,066.29x = 1,288,119.80
  5. Step 5: Solve for x
    x = 1,288,119.80/1,066.29
  6. Step 6: Final answer
    x = 1,208.04

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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.