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Finding the Fourth Proportional to 1,169.12, 1,612.81 and 696.74

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Solution

The fourth proportional to 1,169.12, 1,612.81 and 696.74 is: 961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.12 : 1,612.81 = 696.74 : x
  2. Step 2: Convert to fraction form
    1,169.12/1,612.81 = 696.74/x
  3. Step 3: Cross multiply
    1,169.12x = 1,612.81 × 696.74
  4. Step 4: Simplify right side
    1,169.12x = 1,123,702.05
  5. Step 5: Solve for x
    x = 1,123,702.05/1,169.12
  6. Step 6: Final answer
    x = 961.15

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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.