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Finding the Fourth Proportional to 741.54, 1,020.92 and 574.94

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Solution

The fourth proportional to 741.54, 1,020.92 and 574.94 is: 791.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.54 : 1,020.92 = 574.94 : x
  2. Step 2: Convert to fraction form
    741.54/1,020.92 = 574.94/x
  3. Step 3: Cross multiply
    741.54x = 1,020.92 × 574.94
  4. Step 4: Simplify right side
    741.54x = 586,967.74
  5. Step 5: Solve for x
    x = 586,967.74/741.54
  6. Step 6: Final answer
    x = 791.55

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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.