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Finding the Fourth Proportional to 1,233.84, 1,849.52 and 539.96

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Solution

The fourth proportional to 1,233.84, 1,849.52 and 539.96 is: 809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.84 : 1,849.52 = 539.96 : x
  2. Step 2: Convert to fraction form
    1,233.84/1,849.52 = 539.96/x
  3. Step 3: Cross multiply
    1,233.84x = 1,849.52 × 539.96
  4. Step 4: Simplify right side
    1,233.84x = 998,666.82
  5. Step 5: Solve for x
    x = 998,666.82/1,233.84
  6. Step 6: Final answer
    x = 809.40

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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.