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Finding the Fourth Proportional to 679.56, 1,018.92 and 314.15

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Solution

The fourth proportional to 679.56, 1,018.92 and 314.15 is: 471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.56 : 1,018.92 = 314.15 : x
  2. Step 2: Convert to fraction form
    679.56/1,018.92 = 314.15/x
  3. Step 3: Cross multiply
    679.56x = 1,018.92 × 314.15
  4. Step 4: Simplify right side
    679.56x = 320,088.62
  5. Step 5: Solve for x
    x = 320,088.62/679.56
  6. Step 6: Final answer
    x = 471.02

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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.