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Finding the Fourth Proportional to 730.14, 1,007.82 and 496.86

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Solution

The fourth proportional to 730.14, 1,007.82 and 496.86 is: 685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.14 : 1,007.82 = 496.86 : x
  2. Step 2: Convert to fraction form
    730.14/1,007.82 = 496.86/x
  3. Step 3: Cross multiply
    730.14x = 1,007.82 × 496.86
  4. Step 4: Simplify right side
    730.14x = 500,745.45
  5. Step 5: Solve for x
    x = 500,745.45/730.14
  6. Step 6: Final answer
    x = 685.82

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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.