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Finding the Fourth Proportional to 1,098.12, 1,646.24 and 512.81

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Solution

The fourth proportional to 1,098.12, 1,646.24 and 512.81 is: 768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.12 : 1,646.24 = 512.81 : x
  2. Step 2: Convert to fraction form
    1,098.12/1,646.24 = 512.81/x
  3. Step 3: Cross multiply
    1,098.12x = 1,646.24 × 512.81
  4. Step 4: Simplify right side
    1,098.12x = 844,208.33
  5. Step 5: Solve for x
    x = 844,208.33/1,098.12
  6. Step 6: Final answer
    x = 768.78

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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.