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Finding the Fourth Proportional to 1,228.69, 1,842.78 and 362.80

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Solution

The fourth proportional to 1,228.69, 1,842.78 and 362.80 is: 544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.69 : 1,842.78 = 362.80 : x
  2. Step 2: Convert to fraction form
    1,228.69/1,842.78 = 362.80/x
  3. Step 3: Cross multiply
    1,228.69x = 1,842.78 × 362.80
  4. Step 4: Simplify right side
    1,228.69x = 668,560.58
  5. Step 5: Solve for x
    x = 668,560.58/1,228.69
  6. Step 6: Final answer
    x = 544.12

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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.