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Finding the Fourth Proportional to 1,228.82, 1,842.24 and 498.92

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Solution

The fourth proportional to 1,228.82, 1,842.24 and 498.92 is: 747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.82 : 1,842.24 = 498.92 : x
  2. Step 2: Convert to fraction form
    1,228.82/1,842.24 = 498.92/x
  3. Step 3: Cross multiply
    1,228.82x = 1,842.24 × 498.92
  4. Step 4: Simplify right side
    1,228.82x = 919,130.38
  5. Step 5: Solve for x
    x = 919,130.38/1,228.82
  6. Step 6: Final answer
    x = 747.98

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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.