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Finding the Fourth Proportional to 1,066.56, 1,471.92 and 600.96

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Solution

The fourth proportional to 1,066.56, 1,471.92 and 600.96 is: 829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.56 : 1,471.92 = 600.96 : x
  2. Step 2: Convert to fraction form
    1,066.56/1,471.92 = 600.96/x
  3. Step 3: Cross multiply
    1,066.56x = 1,471.92 × 600.96
  4. Step 4: Simplify right side
    1,066.56x = 884,565.04
  5. Step 5: Solve for x
    x = 884,565.04/1,066.56
  6. Step 6: Final answer
    x = 829.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.