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Finding the Fourth Proportional to 1,053.75, 1,456.56 and 960.18

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Solution

The fourth proportional to 1,053.75, 1,456.56 and 960.18 is: 1,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.75 : 1,456.56 = 960.18 : x
  2. Step 2: Convert to fraction form
    1,053.75/1,456.56 = 960.18/x
  3. Step 3: Cross multiply
    1,053.75x = 1,456.56 × 960.18
  4. Step 4: Simplify right side
    1,053.75x = 1,398,559.78
  5. Step 5: Solve for x
    x = 1,398,559.78/1,053.75
  6. Step 6: Final answer
    x = 1,327.22

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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.