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Finding the Fourth Proportional to 679.29, 1,018.67 and 313.98

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Solution

The fourth proportional to 679.29, 1,018.67 and 313.98 is: 470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.29 : 1,018.67 = 313.98 : x
  2. Step 2: Convert to fraction form
    679.29/1,018.67 = 313.98/x
  3. Step 3: Cross multiply
    679.29x = 1,018.67 × 313.98
  4. Step 4: Simplify right side
    679.29x = 319,840.44
  5. Step 5: Solve for x
    x = 319,840.44/679.29
  6. Step 6: Final answer
    x = 470.85

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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.