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Finding the Fourth Proportional to 1,194.33, 1,790.86 and 732.32

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Solution

The fourth proportional to 1,194.33, 1,790.86 and 732.32 is: 1,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.33 : 1,790.86 = 732.32 : x
  2. Step 2: Convert to fraction form
    1,194.33/1,790.86 = 732.32/x
  3. Step 3: Cross multiply
    1,194.33x = 1,790.86 × 732.32
  4. Step 4: Simplify right side
    1,194.33x = 1,311,478.93
  5. Step 5: Solve for x
    x = 1,311,478.93/1,194.33
  6. Step 6: Final answer
    x = 1,098.09

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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.