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Finding the Fourth Proportional to 1,228.26, 1,841.04 and 498.36

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Solution

The fourth proportional to 1,228.26, 1,841.04 and 498.36 is: 746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.26 : 1,841.04 = 498.36 : x
  2. Step 2: Convert to fraction form
    1,228.26/1,841.04 = 498.36/x
  3. Step 3: Cross multiply
    1,228.26x = 1,841.04 × 498.36
  4. Step 4: Simplify right side
    1,228.26x = 917,500.69
  5. Step 5: Solve for x
    x = 917,500.69/1,228.26
  6. Step 6: Final answer
    x = 746.99

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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.