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Finding the Fourth Proportional to 741.33, 1,022.70 and 520.20

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Solution

The fourth proportional to 741.33, 1,022.70 and 520.20 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.33 : 1,022.70 = 520.20 : x
  2. Step 2: Convert to fraction form
    741.33/1,022.70 = 520.20/x
  3. Step 3: Cross multiply
    741.33x = 1,022.70 × 520.20
  4. Step 4: Simplify right side
    741.33x = 532,008.54
  5. Step 5: Solve for x
    x = 532,008.54/741.33
  6. Step 6: Final answer
    x = 717.64

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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.