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Finding the Fourth Proportional to 1,098.75, 1,647.24 and 550.65

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Solution

The fourth proportional to 1,098.75, 1,647.24 and 550.65 is: 825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.75 : 1,647.24 = 550.65 : x
  2. Step 2: Convert to fraction form
    1,098.75/1,647.24 = 550.65/x
  3. Step 3: Cross multiply
    1,098.75x = 1,647.24 × 550.65
  4. Step 4: Simplify right side
    1,098.75x = 907,052.71
  5. Step 5: Solve for x
    x = 907,052.71/1,098.75
  6. Step 6: Final answer
    x = 825.53

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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.