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Finding the Fourth Proportional to 850.88, 1,276.67 and 460.42

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Solution

The fourth proportional to 850.88, 1,276.67 and 460.42 is: 690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.88 : 1,276.67 = 460.42 : x
  2. Step 2: Convert to fraction form
    850.88/1,276.67 = 460.42/x
  3. Step 3: Cross multiply
    850.88x = 1,276.67 × 460.42
  4. Step 4: Simplify right side
    850.88x = 587,804.40
  5. Step 5: Solve for x
    x = 587,804.40/850.88
  6. Step 6: Final answer
    x = 690.82

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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.