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Finding the Fourth Proportional to 740.82, 1,022.31 and 520.14

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Solution

The fourth proportional to 740.82, 1,022.31 and 520.14 is: 717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.82 : 1,022.31 = 520.14 : x
  2. Step 2: Convert to fraction form
    740.82/1,022.31 = 520.14/x
  3. Step 3: Cross multiply
    740.82x = 1,022.31 × 520.14
  4. Step 4: Simplify right side
    740.82x = 531,744.32
  5. Step 5: Solve for x
    x = 531,744.32/740.82
  6. Step 6: Final answer
    x = 717.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.