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Finding the Fourth Proportional to 850.96, 1,275.60 and 460.59

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Solution

The fourth proportional to 850.96, 1,275.60 and 460.59 is: 690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.96 : 1,275.60 = 460.59 : x
  2. Step 2: Convert to fraction form
    850.96/1,275.60 = 460.59/x
  3. Step 3: Cross multiply
    850.96x = 1,275.60 × 460.59
  4. Step 4: Simplify right side
    850.96x = 587,522.96
  5. Step 5: Solve for x
    x = 587,522.96/850.96
  6. Step 6: Final answer
    x = 690.43

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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.