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Finding the Fourth Proportional to 678.34, 1,018.03 and 331.66

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Solution

The fourth proportional to 678.34, 1,018.03 and 331.66 is: 497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.34 : 1,018.03 = 331.66 : x
  2. Step 2: Convert to fraction form
    678.34/1,018.03 = 331.66/x
  3. Step 3: Cross multiply
    678.34x = 1,018.03 × 331.66
  4. Step 4: Simplify right side
    678.34x = 337,639.83
  5. Step 5: Solve for x
    x = 337,639.83/678.34
  6. Step 6: Final answer
    x = 497.74

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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.