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Finding the Fourth Proportional to 1,194.14, 1,789.58 and 732.08

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Solution

The fourth proportional to 1,194.14, 1,789.58 and 732.08 is: 1,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.14 : 1,789.58 = 732.08 : x
  2. Step 2: Convert to fraction form
    1,194.14/1,789.58 = 732.08/x
  3. Step 3: Cross multiply
    1,194.14x = 1,789.58 × 732.08
  4. Step 4: Simplify right side
    1,194.14x = 1,310,115.73
  5. Step 5: Solve for x
    x = 1,310,115.73/1,194.14
  6. Step 6: Final answer
    x = 1,097.12

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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.