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Finding the Fourth Proportional to 1,578.21, 2,365.62 and 755.34

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Solution

The fourth proportional to 1,578.21, 2,365.62 and 755.34 is: 1,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.21 : 2,365.62 = 755.34 : x
  2. Step 2: Convert to fraction form
    1,578.21/2,365.62 = 755.34/x
  3. Step 3: Cross multiply
    1,578.21x = 2,365.62 × 755.34
  4. Step 4: Simplify right side
    1,578.21x = 1,786,847.41
  5. Step 5: Solve for x
    x = 1,786,847.41/1,578.21
  6. Step 6: Final answer
    x = 1,132.20

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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.