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Finding the Fourth Proportional to 1,228.60, 1,842.27 and 406.78

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Solution

The fourth proportional to 1,228.60, 1,842.27 and 406.78 is: 609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.60 : 1,842.27 = 406.78 : x
  2. Step 2: Convert to fraction form
    1,228.60/1,842.27 = 406.78/x
  3. Step 3: Cross multiply
    1,228.60x = 1,842.27 × 406.78
  4. Step 4: Simplify right side
    1,228.60x = 749,398.59
  5. Step 5: Solve for x
    x = 749,398.59/1,228.60
  6. Step 6: Final answer
    x = 609.96

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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.