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Finding the Fourth Proportional to 850.77, 1,275.03 and 460.94

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Solution

The fourth proportional to 850.77, 1,275.03 and 460.94 is: 690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.77 : 1,275.03 = 460.94 : x
  2. Step 2: Convert to fraction form
    850.77/1,275.03 = 460.94/x
  3. Step 3: Cross multiply
    850.77x = 1,275.03 × 460.94
  4. Step 4: Simplify right side
    850.77x = 587,705.95
  5. Step 5: Solve for x
    x = 587,705.95/850.77
  6. Step 6: Final answer
    x = 690.79

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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.