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Finding the Fourth Proportional to 1,528.27, 2,292.76 and 650.82

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Solution

The fourth proportional to 1,528.27, 2,292.76 and 650.82 is: 976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.27 : 2,292.76 = 650.82 : x
  2. Step 2: Convert to fraction form
    1,528.27/2,292.76 = 650.82/x
  3. Step 3: Cross multiply
    1,528.27x = 2,292.76 × 650.82
  4. Step 4: Simplify right side
    1,528.27x = 1,492,174.06
  5. Step 5: Solve for x
    x = 1,492,174.06/1,528.27
  6. Step 6: Final answer
    x = 976.38

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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.