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Finding the Fourth Proportional to 727.14, 1,003.42 and 403.74

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Solution

The fourth proportional to 727.14, 1,003.42 and 403.74 is: 557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.14 : 1,003.42 = 403.74 : x
  2. Step 2: Convert to fraction form
    727.14/1,003.42 = 403.74/x
  3. Step 3: Cross multiply
    727.14x = 1,003.42 × 403.74
  4. Step 4: Simplify right side
    727.14x = 405,120.79
  5. Step 5: Solve for x
    x = 405,120.79/727.14
  6. Step 6: Final answer
    x = 557.14

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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.