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Finding the Fourth Proportional to 1,198.53, 1,652.94 and 824.92

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Solution

The fourth proportional to 1,198.53, 1,652.94 and 824.92 is: 1,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.53 : 1,652.94 = 824.92 : x
  2. Step 2: Convert to fraction form
    1,198.53/1,652.94 = 824.92/x
  3. Step 3: Cross multiply
    1,198.53x = 1,652.94 × 824.92
  4. Step 4: Simplify right side
    1,198.53x = 1,363,539.13
  5. Step 5: Solve for x
    x = 1,363,539.13/1,198.53
  6. Step 6: Final answer
    x = 1,137.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.