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Finding the Fourth Proportional to 1,331.65, 1,836.90 and 911.80

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Solution

The fourth proportional to 1,331.65, 1,836.90 and 911.80 is: 1,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.65 : 1,836.90 = 911.80 : x
  2. Step 2: Convert to fraction form
    1,331.65/1,836.90 = 911.80/x
  3. Step 3: Cross multiply
    1,331.65x = 1,836.90 × 911.80
  4. Step 4: Simplify right side
    1,331.65x = 1,674,885.42
  5. Step 5: Solve for x
    x = 1,674,885.42/1,331.65
  6. Step 6: Final answer
    x = 1,257.75

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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.