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Finding the Fourth Proportional to 713.89, 1,070.97 and 406.09

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Solution

The fourth proportional to 713.89, 1,070.97 and 406.09 is: 609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.89 : 1,070.97 = 406.09 : x
  2. Step 2: Convert to fraction form
    713.89/1,070.97 = 406.09/x
  3. Step 3: Cross multiply
    713.89x = 1,070.97 × 406.09
  4. Step 4: Simplify right side
    713.89x = 434,910.21
  5. Step 5: Solve for x
    x = 434,910.21/713.89
  6. Step 6: Final answer
    x = 609.21

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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.