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Finding the Fourth Proportional to 1,463.99, 2,196.62 and 539.33

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Solution

The fourth proportional to 1,463.99, 2,196.62 and 539.33 is: 809.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.99 : 2,196.62 = 539.33 : x
  2. Step 2: Convert to fraction form
    1,463.99/2,196.62 = 539.33/x
  3. Step 3: Cross multiply
    1,463.99x = 2,196.62 × 539.33
  4. Step 4: Simplify right side
    1,463.99x = 1,184,689.38
  5. Step 5: Solve for x
    x = 1,184,689.38/1,463.99
  6. Step 6: Final answer
    x = 809.22

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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.