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Finding the Fourth Proportional to 1,066.37, 1,474.20 and 1,023.03

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Solution

The fourth proportional to 1,066.37, 1,474.20 and 1,023.03 is: 1,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.37 : 1,474.20 = 1,023.03 : x
  2. Step 2: Convert to fraction form
    1,066.37/1,474.20 = 1,023.03/x
  3. Step 3: Cross multiply
    1,066.37x = 1,474.20 × 1,023.03
  4. Step 4: Simplify right side
    1,066.37x = 1,508,150.83
  5. Step 5: Solve for x
    x = 1,508,150.83/1,066.37
  6. Step 6: Final answer
    x = 1,414.29

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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.