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Finding the Fourth Proportional to 1,517.14, 2,276.07 and 529.81

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Solution

The fourth proportional to 1,517.14, 2,276.07 and 529.81 is: 794.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.14 : 2,276.07 = 529.81 : x
  2. Step 2: Convert to fraction form
    1,517.14/2,276.07 = 529.81/x
  3. Step 3: Cross multiply
    1,517.14x = 2,276.07 × 529.81
  4. Step 4: Simplify right side
    1,517.14x = 1,205,873.27
  5. Step 5: Solve for x
    x = 1,205,873.27/1,517.14
  6. Step 6: Final answer
    x = 794.84

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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.