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Finding the Fourth Proportional to 940.57, 1,409.77 and 506.81

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Solution

The fourth proportional to 940.57, 1,409.77 and 506.81 is: 759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.57 : 1,409.77 = 506.81 : x
  2. Step 2: Convert to fraction form
    940.57/1,409.77 = 506.81/x
  3. Step 3: Cross multiply
    940.57x = 1,409.77 × 506.81
  4. Step 4: Simplify right side
    940.57x = 714,487.79
  5. Step 5: Solve for x
    x = 714,487.79/940.57
  6. Step 6: Final answer
    x = 759.63

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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.