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Finding the Fourth Proportional to 1,228.21, 1,842.39 and 497.80

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Solution

The fourth proportional to 1,228.21, 1,842.39 and 497.80 is: 746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.21 : 1,842.39 = 497.80 : x
  2. Step 2: Convert to fraction form
    1,228.21/1,842.39 = 497.80/x
  3. Step 3: Cross multiply
    1,228.21x = 1,842.39 × 497.80
  4. Step 4: Simplify right side
    1,228.21x = 917,141.74
  5. Step 5: Solve for x
    x = 917,141.74/1,228.21
  6. Step 6: Final answer
    x = 746.73

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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.