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Finding the Fourth Proportional to 727.64, 1,004.12 and 404.24

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Solution

The fourth proportional to 727.64, 1,004.12 and 404.24 is: 557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.64 : 1,004.12 = 404.24 : x
  2. Step 2: Convert to fraction form
    727.64/1,004.12 = 404.24/x
  3. Step 3: Cross multiply
    727.64x = 1,004.12 × 404.24
  4. Step 4: Simplify right side
    727.64x = 405,905.47
  5. Step 5: Solve for x
    x = 405,905.47/727.64
  6. Step 6: Final answer
    x = 557.84

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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.