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Finding the Fourth Proportional to 725.51, 1,088.84 and 378.95

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Solution

The fourth proportional to 725.51, 1,088.84 and 378.95 is: 568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.51 : 1,088.84 = 378.95 : x
  2. Step 2: Convert to fraction form
    725.51/1,088.84 = 378.95/x
  3. Step 3: Cross multiply
    725.51x = 1,088.84 × 378.95
  4. Step 4: Simplify right side
    725.51x = 412,608.58
  5. Step 5: Solve for x
    x = 412,608.58/725.51
  6. Step 6: Final answer
    x = 568.72

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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.