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Finding the Fourth Proportional to 727.72, 1,003.71 and 462.25

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Solution

The fourth proportional to 727.72, 1,003.71 and 462.25 is: 637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.72 : 1,003.71 = 462.25 : x
  2. Step 2: Convert to fraction form
    727.72/1,003.71 = 462.25/x
  3. Step 3: Cross multiply
    727.72x = 1,003.71 × 462.25
  4. Step 4: Simplify right side
    727.72x = 463,959.93
  5. Step 5: Solve for x
    x = 463,959.93/727.72
  6. Step 6: Final answer
    x = 637.56

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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.