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Finding the Fourth Proportional to 1,010.87, 1,516.86 and 394.61

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Solution

The fourth proportional to 1,010.87, 1,516.86 and 394.61 is: 592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.87 : 1,516.86 = 394.61 : x
  2. Step 2: Convert to fraction form
    1,010.87/1,516.86 = 394.61/x
  3. Step 3: Cross multiply
    1,010.87x = 1,516.86 × 394.61
  4. Step 4: Simplify right side
    1,010.87x = 598,560.54
  5. Step 5: Solve for x
    x = 598,560.54/1,010.87
  6. Step 6: Final answer
    x = 592.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.