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Finding the Fourth Proportional to 1,028.22, 1,539.88 and 794.94

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Solution

The fourth proportional to 1,028.22, 1,539.88 and 794.94 is: 1,190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.22 : 1,539.88 = 794.94 : x
  2. Step 2: Convert to fraction form
    1,028.22/1,539.88 = 794.94/x
  3. Step 3: Cross multiply
    1,028.22x = 1,539.88 × 794.94
  4. Step 4: Simplify right side
    1,028.22x = 1,224,112.21
  5. Step 5: Solve for x
    x = 1,224,112.21/1,028.22
  6. Step 6: Final answer
    x = 1,190.52

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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.