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Finding the Fourth Proportional to 1,279.57, 1,918.16 and 457.34

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Solution

The fourth proportional to 1,279.57, 1,918.16 and 457.34 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.57 : 1,918.16 = 457.34 : x
  2. Step 2: Convert to fraction form
    1,279.57/1,918.16 = 457.34/x
  3. Step 3: Cross multiply
    1,279.57x = 1,918.16 × 457.34
  4. Step 4: Simplify right side
    1,279.57x = 877,251.29
  5. Step 5: Solve for x
    x = 877,251.29/1,279.57
  6. Step 6: Final answer
    x = 685.58

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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.