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Finding the Fourth Proportional to 727.05, 1,003.41 and 461.64

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Solution

The fourth proportional to 727.05, 1,003.41 and 461.64 is: 637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.05 : 1,003.41 = 461.64 : x
  2. Step 2: Convert to fraction form
    727.05/1,003.41 = 461.64/x
  3. Step 3: Cross multiply
    727.05x = 1,003.41 × 461.64
  4. Step 4: Simplify right side
    727.05x = 463,214.19
  5. Step 5: Solve for x
    x = 463,214.19/727.05
  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.