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Finding the Fourth Proportional to 1,010.52, 1,516.47 and 394.23

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Solution

The fourth proportional to 1,010.52, 1,516.47 and 394.23 is: 591.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.52 : 1,516.47 = 394.23 : x
  2. Step 2: Convert to fraction form
    1,010.52/1,516.47 = 394.23/x
  3. Step 3: Cross multiply
    1,010.52x = 1,516.47 × 394.23
  4. Step 4: Simplify right side
    1,010.52x = 597,837.97
  5. Step 5: Solve for x
    x = 597,837.97/1,010.52
  6. Step 6: Final answer
    x = 591.61

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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.