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Finding the Fourth Proportional to 679.80, 1,019.59 and 263.28

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Solution

The fourth proportional to 679.80, 1,019.59 and 263.28 is: 394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.80 : 1,019.59 = 263.28 : x
  2. Step 2: Convert to fraction form
    679.80/1,019.59 = 263.28/x
  3. Step 3: Cross multiply
    679.80x = 1,019.59 × 263.28
  4. Step 4: Simplify right side
    679.80x = 268,437.00
  5. Step 5: Solve for x
    x = 268,437.00/679.80
  6. Step 6: Final answer
    x = 394.88

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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.