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Finding the Fourth Proportional to 1,643.62, 2,464.90 and 547.70

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Solution

The fourth proportional to 1,643.62, 2,464.90 and 547.70 is: 821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.62 : 2,464.90 = 547.70 : x
  2. Step 2: Convert to fraction form
    1,643.62/2,464.90 = 547.70/x
  3. Step 3: Cross multiply
    1,643.62x = 2,464.90 × 547.70
  4. Step 4: Simplify right side
    1,643.62x = 1,350,025.73
  5. Step 5: Solve for x
    x = 1,350,025.73/1,643.62
  6. Step 6: Final answer
    x = 821.37

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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.