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Finding the Fourth Proportional to 679.12, 1,019.55 and 547.43

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Solution

The fourth proportional to 679.12, 1,019.55 and 547.43 is: 821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.12 : 1,019.55 = 547.43 : x
  2. Step 2: Convert to fraction form
    679.12/1,019.55 = 547.43/x
  3. Step 3: Cross multiply
    679.12x = 1,019.55 × 547.43
  4. Step 4: Simplify right side
    679.12x = 558,129.21
  5. Step 5: Solve for x
    x = 558,129.21/679.12
  6. Step 6: Final answer
    x = 821.84

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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.