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Finding the Fourth Proportional to 1,528.27, 2,290.53 and 650.41

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Solution

The fourth proportional to 1,528.27, 2,290.53 and 650.41 is: 974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.27 : 2,290.53 = 650.41 : x
  2. Step 2: Convert to fraction form
    1,528.27/2,290.53 = 650.41/x
  3. Step 3: Cross multiply
    1,528.27x = 2,290.53 × 650.41
  4. Step 4: Simplify right side
    1,528.27x = 1,489,783.62
  5. Step 5: Solve for x
    x = 1,489,783.62/1,528.27
  6. Step 6: Final answer
    x = 974.82

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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.