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Finding the Fourth Proportional to 928.31, 1,389.62 and 797.09

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Solution

The fourth proportional to 928.31, 1,389.62 and 797.09 is: 1,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.31 : 1,389.62 = 797.09 : x
  2. Step 2: Convert to fraction form
    928.31/1,389.62 = 797.09/x
  3. Step 3: Cross multiply
    928.31x = 1,389.62 × 797.09
  4. Step 4: Simplify right side
    928.31x = 1,107,647.25
  5. Step 5: Solve for x
    x = 1,107,647.25/928.31
  6. Step 6: Final answer
    x = 1,193.19

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Why These Related Problems?

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