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Finding the Fourth Proportional to 940.67, 1,410.69 and 392.75

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Solution

The fourth proportional to 940.67, 1,410.69 and 392.75 is: 588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.67 : 1,410.69 = 392.75 : x
  2. Step 2: Convert to fraction form
    940.67/1,410.69 = 392.75/x
  3. Step 3: Cross multiply
    940.67x = 1,410.69 × 392.75
  4. Step 4: Simplify right side
    940.67x = 554,048.50
  5. Step 5: Solve for x
    x = 554,048.50/940.67
  6. Step 6: Final answer
    x = 588.99

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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.