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Finding the Fourth Proportional to 1,389.12, 1,917.21 and 799.53

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Solution

The fourth proportional to 1,389.12, 1,917.21 and 799.53 is: 1,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.12 : 1,917.21 = 799.53 : x
  2. Step 2: Convert to fraction form
    1,389.12/1,917.21 = 799.53/x
  3. Step 3: Cross multiply
    1,389.12x = 1,917.21 × 799.53
  4. Step 4: Simplify right side
    1,389.12x = 1,532,866.91
  5. Step 5: Solve for x
    x = 1,532,866.91/1,389.12
  6. Step 6: Final answer
    x = 1,103.48

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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.