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Finding the Fourth Proportional to 1,389.50, 1,917.25 and 799.82

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Solution

The fourth proportional to 1,389.50, 1,917.25 and 799.82 is: 1,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.50 : 1,917.25 = 799.82 : x
  2. Step 2: Convert to fraction form
    1,389.50/1,917.25 = 799.82/x
  3. Step 3: Cross multiply
    1,389.50x = 1,917.25 × 799.82
  4. Step 4: Simplify right side
    1,389.50x = 1,533,441.31
  5. Step 5: Solve for x
    x = 1,533,441.31/1,389.50
  6. Step 6: Final answer
    x = 1,103.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.