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Finding the Fourth Proportional to 1,464.36, 2,196.47 and 539.85

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Solution

The fourth proportional to 1,464.36, 2,196.47 and 539.85 is: 809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.36 : 2,196.47 = 539.85 : x
  2. Step 2: Convert to fraction form
    1,464.36/2,196.47 = 539.85/x
  3. Step 3: Cross multiply
    1,464.36x = 2,196.47 × 539.85
  4. Step 4: Simplify right side
    1,464.36x = 1,185,765.68
  5. Step 5: Solve for x
    x = 1,185,765.68/1,464.36
  6. Step 6: Final answer
    x = 809.75

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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.