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Finding the Fourth Proportional to 678.73, 1,018.68 and 446.96

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Solution

The fourth proportional to 678.73, 1,018.68 and 446.96 is: 670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.73 : 1,018.68 = 446.96 : x
  2. Step 2: Convert to fraction form
    678.73/1,018.68 = 446.96/x
  3. Step 3: Cross multiply
    678.73x = 1,018.68 × 446.96
  4. Step 4: Simplify right side
    678.73x = 455,309.21
  5. Step 5: Solve for x
    x = 455,309.21/678.73
  6. Step 6: Final answer
    x = 670.83

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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.