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Finding the Fourth Proportional to 1,065.33, 1,469.15 and 844.81

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Solution

The fourth proportional to 1,065.33, 1,469.15 and 844.81 is: 1,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.33 : 1,469.15 = 844.81 : x
  2. Step 2: Convert to fraction form
    1,065.33/1,469.15 = 844.81/x
  3. Step 3: Cross multiply
    1,065.33x = 1,469.15 × 844.81
  4. Step 4: Simplify right side
    1,065.33x = 1,241,151.05
  5. Step 5: Solve for x
    x = 1,241,151.05/1,065.33
  6. Step 6: Final answer
    x = 1,165.04

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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.