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Finding the Fourth Proportional to 1,279.26, 1,918.49 and 457.31

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Solution

The fourth proportional to 1,279.26, 1,918.49 and 457.31 is: 685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.26 : 1,918.49 = 457.31 : x
  2. Step 2: Convert to fraction form
    1,279.26/1,918.49 = 457.31/x
  3. Step 3: Cross multiply
    1,279.26x = 1,918.49 × 457.31
  4. Step 4: Simplify right side
    1,279.26x = 877,347.17
  5. Step 5: Solve for x
    x = 877,347.17/1,279.26
  6. Step 6: Final answer
    x = 685.82

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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.