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Finding the Fourth Proportional to 679.50, 1,019.93 and 459.42

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Solution

The fourth proportional to 679.50, 1,019.93 and 459.42 is: 689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.50 : 1,019.93 = 459.42 : x
  2. Step 2: Convert to fraction form
    679.50/1,019.93 = 459.42/x
  3. Step 3: Cross multiply
    679.50x = 1,019.93 × 459.42
  4. Step 4: Simplify right side
    679.50x = 468,577.39
  5. Step 5: Solve for x
    x = 468,577.39/679.50
  6. Step 6: Final answer
    x = 689.59

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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.