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Finding the Fourth Proportional to 679.86, 1,018.98 and 355.14

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Solution

The fourth proportional to 679.86, 1,018.98 and 355.14 is: 532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.86 : 1,018.98 = 355.14 : x
  2. Step 2: Convert to fraction form
    679.86/1,018.98 = 355.14/x
  3. Step 3: Cross multiply
    679.86x = 1,018.98 × 355.14
  4. Step 4: Simplify right side
    679.86x = 361,880.56
  5. Step 5: Solve for x
    x = 361,880.56/679.86
  6. Step 6: Final answer
    x = 532.29

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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.