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Finding the Fourth Proportional to 1,218.82, 1,828.50 and 353.14

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Solution

The fourth proportional to 1,218.82, 1,828.50 and 353.14 is: 529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.82 : 1,828.50 = 353.14 : x
  2. Step 2: Convert to fraction form
    1,218.82/1,828.50 = 353.14/x
  3. Step 3: Cross multiply
    1,218.82x = 1,828.50 × 353.14
  4. Step 4: Simplify right side
    1,218.82x = 645,716.49
  5. Step 5: Solve for x
    x = 645,716.49/1,218.82
  6. Step 6: Final answer
    x = 529.79

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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.