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Finding the Fourth Proportional to 725.95, 1,088.84 and 206.00

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Solution

The fourth proportional to 725.95, 1,088.84 and 206.00 is: 308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.95 : 1,088.84 = 206.00 : x
  2. Step 2: Convert to fraction form
    725.95/1,088.84 = 206.00/x
  3. Step 3: Cross multiply
    725.95x = 1,088.84 × 206.00
  4. Step 4: Simplify right side
    725.95x = 224,294.57
  5. Step 5: Solve for x
    x = 224,294.57/725.95
  6. Step 6: Final answer
    x = 308.97

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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.