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Finding the Fourth Proportional to 725.41, 1,089.43 and 452.04

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Solution

The fourth proportional to 725.41, 1,089.43 and 452.04 is: 678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.41 : 1,089.43 = 452.04 : x
  2. Step 2: Convert to fraction form
    725.41/1,089.43 = 452.04/x
  3. Step 3: Cross multiply
    725.41x = 1,089.43 × 452.04
  4. Step 4: Simplify right side
    725.41x = 492,465.94
  5. Step 5: Solve for x
    x = 492,465.94/725.41
  6. Step 6: Final answer
    x = 678.88

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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.