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Finding the Fourth Proportional to 1,279.45, 1,918.90 and 457.77

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Solution

The fourth proportional to 1,279.45, 1,918.90 and 457.77 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.45 : 1,918.90 = 457.77 : x
  2. Step 2: Convert to fraction form
    1,279.45/1,918.90 = 457.77/x
  3. Step 3: Cross multiply
    1,279.45x = 1,918.90 × 457.77
  4. Step 4: Simplify right side
    1,279.45x = 878,414.85
  5. Step 5: Solve for x
    x = 878,414.85/1,279.45
  6. Step 6: Final answer
    x = 686.56

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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.