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Finding the Fourth Proportional to 1,098.04, 1,644.94 and 550.69

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Solution

The fourth proportional to 1,098.04, 1,644.94 and 550.69 is: 824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.04 : 1,644.94 = 550.69 : x
  2. Step 2: Convert to fraction form
    1,098.04/1,644.94 = 550.69/x
  3. Step 3: Cross multiply
    1,098.04x = 1,644.94 × 550.69
  4. Step 4: Simplify right side
    1,098.04x = 905,852.01
  5. Step 5: Solve for x
    x = 905,852.01/1,098.04
  6. Step 6: Final answer
    x = 824.97

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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.