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Finding the Fourth Proportional to 1,060.18, 1,462.08 and 661.33

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Solution

The fourth proportional to 1,060.18, 1,462.08 and 661.33 is: 912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.18 : 1,462.08 = 661.33 : x
  2. Step 2: Convert to fraction form
    1,060.18/1,462.08 = 661.33/x
  3. Step 3: Cross multiply
    1,060.18x = 1,462.08 × 661.33
  4. Step 4: Simplify right side
    1,060.18x = 966,917.37
  5. Step 5: Solve for x
    x = 966,917.37/1,060.18
  6. Step 6: Final answer
    x = 912.03

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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.