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Finding the Fourth Proportional to 1,279.55, 1,919.44 and 577.20

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Solution

The fourth proportional to 1,279.55, 1,919.44 and 577.20 is: 865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.55 : 1,919.44 = 577.20 : x
  2. Step 2: Convert to fraction form
    1,279.55/1,919.44 = 577.20/x
  3. Step 3: Cross multiply
    1,279.55x = 1,919.44 × 577.20
  4. Step 4: Simplify right side
    1,279.55x = 1,107,900.77
  5. Step 5: Solve for x
    x = 1,107,900.77/1,279.55
  6. Step 6: Final answer
    x = 865.85

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