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Finding the Fourth Proportional to 1,066.57, 1,471.97 and 673.31

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Solution

The fourth proportional to 1,066.57, 1,471.97 and 673.31 is: 929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.57 : 1,471.97 = 673.31 : x
  2. Step 2: Convert to fraction form
    1,066.57/1,471.97 = 673.31/x
  3. Step 3: Cross multiply
    1,066.57x = 1,471.97 × 673.31
  4. Step 4: Simplify right side
    1,066.57x = 991,097.48
  5. Step 5: Solve for x
    x = 991,097.48/1,066.57
  6. Step 6: Final answer
    x = 929.24

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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.