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Finding the Fourth Proportional to 940.20, 1,407.80 and 506.04

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Solution

The fourth proportional to 940.20, 1,407.80 and 506.04 is: 757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.20 : 1,407.80 = 506.04 : x
  2. Step 2: Convert to fraction form
    940.20/1,407.80 = 506.04/x
  3. Step 3: Cross multiply
    940.20x = 1,407.80 × 506.04
  4. Step 4: Simplify right side
    940.20x = 712,403.11
  5. Step 5: Solve for x
    x = 712,403.11/940.20
  6. Step 6: Final answer
    x = 757.71

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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.