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Finding the Fourth Proportional to 1,169.11, 1,753.97 and 438.70

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Solution

The fourth proportional to 1,169.11, 1,753.97 and 438.70 is: 658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.11 : 1,753.97 = 438.70 : x
  2. Step 2: Convert to fraction form
    1,169.11/1,753.97 = 438.70/x
  3. Step 3: Cross multiply
    1,169.11x = 1,753.97 × 438.70
  4. Step 4: Simplify right side
    1,169.11x = 769,466.64
  5. Step 5: Solve for x
    x = 769,466.64/1,169.11
  6. Step 6: Final answer
    x = 658.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.