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Finding the Fourth Proportional to 730.64, 1,008.24 and 415.86

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Solution

The fourth proportional to 730.64, 1,008.24 and 415.86 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.64 : 1,008.24 = 415.86 : x
  2. Step 2: Convert to fraction form
    730.64/1,008.24 = 415.86/x
  3. Step 3: Cross multiply
    730.64x = 1,008.24 × 415.86
  4. Step 4: Simplify right side
    730.64x = 419,289.21
  5. Step 5: Solve for x
    x = 419,289.21/730.64
  6. Step 6: Final answer
    x = 573.87

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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.