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Finding the Fourth Proportional to 1,016.80, 1,403.76 and 668.48

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Solution

The fourth proportional to 1,016.80, 1,403.76 and 668.48 is: 922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.80 : 1,403.76 = 668.48 : x
  2. Step 2: Convert to fraction form
    1,016.80/1,403.76 = 668.48/x
  3. Step 3: Cross multiply
    1,016.80x = 1,403.76 × 668.48
  4. Step 4: Simplify right side
    1,016.80x = 938,385.48
  5. Step 5: Solve for x
    x = 938,385.48/1,016.80
  6. Step 6: Final answer
    x = 922.88

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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.