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Finding the Fourth Proportional to 725.14, 1,089.44 and 465.65

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Solution

The fourth proportional to 725.14, 1,089.44 and 465.65 is: 699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.14 : 1,089.44 = 465.65 : x
  2. Step 2: Convert to fraction form
    725.14/1,089.44 = 465.65/x
  3. Step 3: Cross multiply
    725.14x = 1,089.44 × 465.65
  4. Step 4: Simplify right side
    725.14x = 507,297.74
  5. Step 5: Solve for x
    x = 507,297.74/725.14
  6. Step 6: Final answer
    x = 699.59

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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.