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Finding the Fourth Proportional to 730.46, 1,007.66 and 494.42

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Solution

The fourth proportional to 730.46, 1,007.66 and 494.42 is: 682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.46 : 1,007.66 = 494.42 : x
  2. Step 2: Convert to fraction form
    730.46/1,007.66 = 494.42/x
  3. Step 3: Cross multiply
    730.46x = 1,007.66 × 494.42
  4. Step 4: Simplify right side
    730.46x = 498,207.26
  5. Step 5: Solve for x
    x = 498,207.26/730.46
  6. Step 6: Final answer
    x = 682.05

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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.