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Finding the Fourth Proportional to 850.41, 1,275.98 and 460.68

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Solution

The fourth proportional to 850.41, 1,275.98 and 460.68 is: 691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.41 : 1,275.98 = 460.68 : x
  2. Step 2: Convert to fraction form
    850.41/1,275.98 = 460.68/x
  3. Step 3: Cross multiply
    850.41x = 1,275.98 × 460.68
  4. Step 4: Simplify right side
    850.41x = 587,811.38
  5. Step 5: Solve for x
    x = 587,811.38/850.41
  6. Step 6: Final answer
    x = 691.21

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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.