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Finding the Fourth Proportional to 727.22, 1,003.42 and 461.74

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Solution

The fourth proportional to 727.22, 1,003.42 and 461.74 is: 637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.22 : 1,003.42 = 461.74 : x
  2. Step 2: Convert to fraction form
    727.22/1,003.42 = 461.74/x
  3. Step 3: Cross multiply
    727.22x = 1,003.42 × 461.74
  4. Step 4: Simplify right side
    727.22x = 463,319.15
  5. Step 5: Solve for x
    x = 463,319.15/727.22
  6. Step 6: Final answer
    x = 637.11

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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.