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Finding the Fourth Proportional to 1,194.08, 1,647.70 and 696.61

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Solution

The fourth proportional to 1,194.08, 1,647.70 and 696.61 is: 961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.08 : 1,647.70 = 696.61 : x
  2. Step 2: Convert to fraction form
    1,194.08/1,647.70 = 696.61/x
  3. Step 3: Cross multiply
    1,194.08x = 1,647.70 × 696.61
  4. Step 4: Simplify right side
    1,194.08x = 1,147,804.30
  5. Step 5: Solve for x
    x = 1,147,804.30/1,194.08
  6. Step 6: Final answer
    x = 961.25

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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.