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Finding the Fourth Proportional to 1,055.26, 1,456.77 and 741.19

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Solution

The fourth proportional to 1,055.26, 1,456.77 and 741.19 is: 1,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.26 : 1,456.77 = 741.19 : x
  2. Step 2: Convert to fraction form
    1,055.26/1,456.77 = 741.19/x
  3. Step 3: Cross multiply
    1,055.26x = 1,456.77 × 741.19
  4. Step 4: Simplify right side
    1,055.26x = 1,079,743.36
  5. Step 5: Solve for x
    x = 1,079,743.36/1,055.26
  6. Step 6: Final answer
    x = 1,023.20

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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.