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Finding the Fourth Proportional to 1,279.11, 1,918.02 and 457.26

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Solution

The fourth proportional to 1,279.11, 1,918.02 and 457.26 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.11 : 1,918.02 = 457.26 : x
  2. Step 2: Convert to fraction form
    1,279.11/1,918.02 = 457.26/x
  3. Step 3: Cross multiply
    1,279.11x = 1,918.02 × 457.26
  4. Step 4: Simplify right side
    1,279.11x = 877,033.83
  5. Step 5: Solve for x
    x = 877,033.83/1,279.11
  6. Step 6: Final answer
    x = 685.66

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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.