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Finding the Fourth Proportional to 1,427.22, 2,140.83 and 779.22

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Solution

The fourth proportional to 1,427.22, 2,140.83 and 779.22 is: 1,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.22 : 2,140.83 = 779.22 : x
  2. Step 2: Convert to fraction form
    1,427.22/2,140.83 = 779.22/x
  3. Step 3: Cross multiply
    1,427.22x = 2,140.83 × 779.22
  4. Step 4: Simplify right side
    1,427.22x = 1,668,177.55
  5. Step 5: Solve for x
    x = 1,668,177.55/1,427.22
  6. Step 6: Final answer
    x = 1,168.83

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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.