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Finding the Fourth Proportional to 1,098.07, 1,645.73 and 550.41

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Solution

The fourth proportional to 1,098.07, 1,645.73 and 550.41 is: 824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.07 : 1,645.73 = 550.41 : x
  2. Step 2: Convert to fraction form
    1,098.07/1,645.73 = 550.41/x
  3. Step 3: Cross multiply
    1,098.07x = 1,645.73 × 550.41
  4. Step 4: Simplify right side
    1,098.07x = 905,826.25
  5. Step 5: Solve for x
    x = 905,826.25/1,098.07
  6. Step 6: Final answer
    x = 824.93

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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.