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Finding the Fourth Proportional to 1,228.57, 1,843.05 and 498.65

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Solution

The fourth proportional to 1,228.57, 1,843.05 and 498.65 is: 748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.57 : 1,843.05 = 498.65 : x
  2. Step 2: Convert to fraction form
    1,228.57/1,843.05 = 498.65/x
  3. Step 3: Cross multiply
    1,228.57x = 1,843.05 × 498.65
  4. Step 4: Simplify right side
    1,228.57x = 919,027.67
  5. Step 5: Solve for x
    x = 919,027.67/1,228.57
  6. Step 6: Final answer
    x = 748.05

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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.