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Finding the Fourth Proportional to 1,279.00, 1,917.86 and 457.14

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Solution

The fourth proportional to 1,279.00, 1,917.86 and 457.14 is: 685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.00 : 1,917.86 = 457.14 : x
  2. Step 2: Convert to fraction form
    1,279.00/1,917.86 = 457.14/x
  3. Step 3: Cross multiply
    1,279.00x = 1,917.86 × 457.14
  4. Step 4: Simplify right side
    1,279.00x = 876,728.23
  5. Step 5: Solve for x
    x = 876,728.23/1,279.00
  6. Step 6: Final answer
    x = 685.48

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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.