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Finding the Fourth Proportional to 1,194.18, 1,647.90 and 696.84

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Solution

The fourth proportional to 1,194.18, 1,647.90 and 696.84 is: 961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.18 : 1,647.90 = 696.84 : x
  2. Step 2: Convert to fraction form
    1,194.18/1,647.90 = 696.84/x
  3. Step 3: Cross multiply
    1,194.18x = 1,647.90 × 696.84
  4. Step 4: Simplify right side
    1,194.18x = 1,148,322.64
  5. Step 5: Solve for x
    x = 1,148,322.64/1,194.18
  6. Step 6: Final answer
    x = 961.60

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