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Finding the Fourth Proportional to 1,468.17, 2,201.46 and 645.48

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Solution

The fourth proportional to 1,468.17, 2,201.46 and 645.48 is: 967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.17 : 2,201.46 = 645.48 : x
  2. Step 2: Convert to fraction form
    1,468.17/2,201.46 = 645.48/x
  3. Step 3: Cross multiply
    1,468.17x = 2,201.46 × 645.48
  4. Step 4: Simplify right side
    1,468.17x = 1,420,998.40
  5. Step 5: Solve for x
    x = 1,420,998.40/1,468.17
  6. Step 6: Final answer
    x = 967.87

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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.