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Finding the Fourth Proportional to 1,201.97, 1,802.67 and 461.32

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Solution

The fourth proportional to 1,201.97, 1,802.67 and 461.32 is: 691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.97 : 1,802.67 = 461.32 : x
  2. Step 2: Convert to fraction form
    1,201.97/1,802.67 = 461.32/x
  3. Step 3: Cross multiply
    1,201.97x = 1,802.67 × 461.32
  4. Step 4: Simplify right side
    1,201.97x = 831,614.22
  5. Step 5: Solve for x
    x = 831,614.22/1,201.97
  6. Step 6: Final answer
    x = 691.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.