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Finding the Fourth Proportional to 713.39, 1,070.09 and 219.80

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Solution

The fourth proportional to 713.39, 1,070.09 and 219.80 is: 329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.39 : 1,070.09 = 219.80 : x
  2. Step 2: Convert to fraction form
    713.39/1,070.09 = 219.80/x
  3. Step 3: Cross multiply
    713.39x = 1,070.09 × 219.80
  4. Step 4: Simplify right side
    713.39x = 235,205.78
  5. Step 5: Solve for x
    x = 235,205.78/713.39
  6. Step 6: Final answer
    x = 329.70

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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.