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Finding the Fourth Proportional to 679.58, 1,018.56 and 313.86

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Solution

The fourth proportional to 679.58, 1,018.56 and 313.86 is: 470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.58 : 1,018.56 = 313.86 : x
  2. Step 2: Convert to fraction form
    679.58/1,018.56 = 313.86/x
  3. Step 3: Cross multiply
    679.58x = 1,018.56 × 313.86
  4. Step 4: Simplify right side
    679.58x = 319,685.24
  5. Step 5: Solve for x
    x = 319,685.24/679.58
  6. Step 6: Final answer
    x = 470.42

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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.