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Finding the Fourth Proportional to 679.17, 1,019.03 and 314.13

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Solution

The fourth proportional to 679.17, 1,019.03 and 314.13 is: 471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.17 : 1,019.03 = 314.13 : x
  2. Step 2: Convert to fraction form
    679.17/1,019.03 = 314.13/x
  3. Step 3: Cross multiply
    679.17x = 1,019.03 × 314.13
  4. Step 4: Simplify right side
    679.17x = 320,111.91
  5. Step 5: Solve for x
    x = 320,111.91/679.17
  6. Step 6: Final answer
    x = 471.33

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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.