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Finding the Fourth Proportional to 679.78, 1,018.23 and 460.54

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Solution

The fourth proportional to 679.78, 1,018.23 and 460.54 is: 689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.78 : 1,018.23 = 460.54 : x
  2. Step 2: Convert to fraction form
    679.78/1,018.23 = 460.54/x
  3. Step 3: Cross multiply
    679.78x = 1,018.23 × 460.54
  4. Step 4: Simplify right side
    679.78x = 468,935.64
  5. Step 5: Solve for x
    x = 468,935.64/679.78
  6. Step 6: Final answer
    x = 689.83

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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.