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Finding the Fourth Proportional to 1,098.22, 1,646.47 and 550.12

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Solution

The fourth proportional to 1,098.22, 1,646.47 and 550.12 is: 824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.22 : 1,646.47 = 550.12 : x
  2. Step 2: Convert to fraction form
    1,098.22/1,646.47 = 550.12/x
  3. Step 3: Cross multiply
    1,098.22x = 1,646.47 × 550.12
  4. Step 4: Simplify right side
    1,098.22x = 905,756.08
  5. Step 5: Solve for x
    x = 905,756.08/1,098.22
  6. Step 6: Final answer
    x = 824.75

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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.