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Finding the Fourth Proportional to 850.94, 1,276.55 and 418.13

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Solution

The fourth proportional to 850.94, 1,276.55 and 418.13 is: 627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.94 : 1,276.55 = 418.13 : x
  2. Step 2: Convert to fraction form
    850.94/1,276.55 = 418.13/x
  3. Step 3: Cross multiply
    850.94x = 1,276.55 × 418.13
  4. Step 4: Simplify right side
    850.94x = 533,763.85
  5. Step 5: Solve for x
    x = 533,763.85/850.94
  6. Step 6: Final answer
    x = 627.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.