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Finding the Fourth Proportional to 1,060.24, 1,462.32 and 687.31

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Solution

The fourth proportional to 1,060.24, 1,462.32 and 687.31 is: 947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.24 : 1,462.32 = 687.31 : x
  2. Step 2: Convert to fraction form
    1,060.24/1,462.32 = 687.31/x
  3. Step 3: Cross multiply
    1,060.24x = 1,462.32 × 687.31
  4. Step 4: Simplify right side
    1,060.24x = 1,005,067.16
  5. Step 5: Solve for x
    x = 1,005,067.16/1,060.24
  6. Step 6: Final answer
    x = 947.96

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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.