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Finding the Fourth Proportional to 679.70, 1,018.08 and 459.11

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Solution

The fourth proportional to 679.70, 1,018.08 and 459.11 is: 687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.70 : 1,018.08 = 459.11 : x
  2. Step 2: Convert to fraction form
    679.70/1,018.08 = 459.11/x
  3. Step 3: Cross multiply
    679.70x = 1,018.08 × 459.11
  4. Step 4: Simplify right side
    679.70x = 467,414.98
  5. Step 5: Solve for x
    x = 467,414.98/679.70
  6. Step 6: Final answer
    x = 687.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.