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Finding the Fourth Proportional to 850.30, 1,276.80 and 577.60

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Solution

The fourth proportional to 850.30, 1,276.80 and 577.60 is: 867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.30 : 1,276.80 = 577.60 : x
  2. Step 2: Convert to fraction form
    850.30/1,276.80 = 577.60/x
  3. Step 3: Cross multiply
    850.30x = 1,276.80 × 577.60
  4. Step 4: Simplify right side
    850.30x = 737,479.68
  5. Step 5: Solve for x
    x = 737,479.68/850.30
  6. Step 6: Final answer
    x = 867.32

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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.