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Finding the Fourth Proportional to 1,747.09, 2,620.95 and 773.20

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Solution

The fourth proportional to 1,747.09, 2,620.95 and 773.20 is: 1,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.09 : 2,620.95 = 773.20 : x
  2. Step 2: Convert to fraction form
    1,747.09/2,620.95 = 773.20/x
  3. Step 3: Cross multiply
    1,747.09x = 2,620.95 × 773.20
  4. Step 4: Simplify right side
    1,747.09x = 2,026,518.54
  5. Step 5: Solve for x
    x = 2,026,518.54/1,747.09
  6. Step 6: Final answer
    x = 1,159.94

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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.