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Finding the Fourth Proportional to 1,468.53, 2,202.73 and 481.42

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Solution

The fourth proportional to 1,468.53, 2,202.73 and 481.42 is: 722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.53 : 2,202.73 = 481.42 : x
  2. Step 2: Convert to fraction form
    1,468.53/2,202.73 = 481.42/x
  3. Step 3: Cross multiply
    1,468.53x = 2,202.73 × 481.42
  4. Step 4: Simplify right side
    1,468.53x = 1,060,428.47
  5. Step 5: Solve for x
    x = 1,060,428.47/1,468.53
  6. Step 6: Final answer
    x = 722.10

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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.