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Finding the Fourth Proportional to 940.15, 1,410.73 and 392.71

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Solution

The fourth proportional to 940.15, 1,410.73 and 392.71 is: 589.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.15 : 1,410.73 = 392.71 : x
  2. Step 2: Convert to fraction form
    940.15/1,410.73 = 392.71/x
  3. Step 3: Cross multiply
    940.15x = 1,410.73 × 392.71
  4. Step 4: Simplify right side
    940.15x = 554,003.27
  5. Step 5: Solve for x
    x = 554,003.27/940.15
  6. Step 6: Final answer
    x = 589.27

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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.