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Finding the Fourth Proportional to 679.32, 1,019.29 and 314.18

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Solution

The fourth proportional to 679.32, 1,019.29 and 314.18 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.32 : 1,019.29 = 314.18 : x
  2. Step 2: Convert to fraction form
    679.32/1,019.29 = 314.18/x
  3. Step 3: Cross multiply
    679.32x = 1,019.29 × 314.18
  4. Step 4: Simplify right side
    679.32x = 320,235.44
  5. Step 5: Solve for x
    x = 320,235.44/679.32
  6. Step 6: Final answer
    x = 471.41

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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.