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Finding the Fourth Proportional to 679.88, 1,019.41 and 460.77

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Solution

The fourth proportional to 679.88, 1,019.41 and 460.77 is: 690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.88 : 1,019.41 = 460.77 : x
  2. Step 2: Convert to fraction form
    679.88/1,019.41 = 460.77/x
  3. Step 3: Cross multiply
    679.88x = 1,019.41 × 460.77
  4. Step 4: Simplify right side
    679.88x = 469,716.09
  5. Step 5: Solve for x
    x = 469,716.09/679.88
  6. Step 6: Final answer
    x = 690.88

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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.