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Finding the Fourth Proportional to 1,198.24, 1,654.32 and 784.48

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Solution

The fourth proportional to 1,198.24, 1,654.32 and 784.48 is: 1,083.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.24 : 1,654.32 = 784.48 : x
  2. Step 2: Convert to fraction form
    1,198.24/1,654.32 = 784.48/x
  3. Step 3: Cross multiply
    1,198.24x = 1,654.32 × 784.48
  4. Step 4: Simplify right side
    1,198.24x = 1,297,780.95
  5. Step 5: Solve for x
    x = 1,297,780.95/1,198.24
  6. Step 6: Final answer
    x = 1,083.07

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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.