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Finding the Fourth Proportional to 1,279.53, 1,765.22 and 782.01

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Solution

The fourth proportional to 1,279.53, 1,765.22 and 782.01 is: 1,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.53 : 1,765.22 = 782.01 : x
  2. Step 2: Convert to fraction form
    1,279.53/1,765.22 = 782.01/x
  3. Step 3: Cross multiply
    1,279.53x = 1,765.22 × 782.01
  4. Step 4: Simplify right side
    1,279.53x = 1,380,415.78
  5. Step 5: Solve for x
    x = 1,380,415.78/1,279.53
  6. Step 6: Final answer
    x = 1,078.85

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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.