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Finding the Fourth Proportional to 741.62, 1,023.81 and 701.42

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Solution

The fourth proportional to 741.62, 1,023.81 and 701.42 is: 968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.62 : 1,023.81 = 701.42 : x
  2. Step 2: Convert to fraction form
    741.62/1,023.81 = 701.42/x
  3. Step 3: Cross multiply
    741.62x = 1,023.81 × 701.42
  4. Step 4: Simplify right side
    741.62x = 718,120.81
  5. Step 5: Solve for x
    x = 718,120.81/741.62
  6. Step 6: Final answer
    x = 968.31

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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.