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Finding the Fourth Proportional to 679.56, 1,019.94 and 459.64

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Solution

The fourth proportional to 679.56, 1,019.94 and 459.64 is: 689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.56 : 1,019.94 = 459.64 : x
  2. Step 2: Convert to fraction form
    679.56/1,019.94 = 459.64/x
  3. Step 3: Cross multiply
    679.56x = 1,019.94 × 459.64
  4. Step 4: Simplify right side
    679.56x = 468,805.22
  5. Step 5: Solve for x
    x = 468,805.22/679.56
  6. Step 6: Final answer
    x = 689.87

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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.