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Finding the Fourth Proportional to 1,464.54, 2,195.55 and 539.63

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Solution

The fourth proportional to 1,464.54, 2,195.55 and 539.63 is: 808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.54 : 2,195.55 = 539.63 : x
  2. Step 2: Convert to fraction form
    1,464.54/2,195.55 = 539.63/x
  3. Step 3: Cross multiply
    1,464.54x = 2,195.55 × 539.63
  4. Step 4: Simplify right side
    1,464.54x = 1,184,770.97
  5. Step 5: Solve for x
    x = 1,184,770.97/1,464.54
  6. Step 6: Final answer
    x = 808.97

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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.