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Finding the Fourth Proportional to 1,578.83, 2,365.57 and 755.29

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Solution

The fourth proportional to 1,578.83, 2,365.57 and 755.29 is: 1,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.83 : 2,365.57 = 755.29 : x
  2. Step 2: Convert to fraction form
    1,578.83/2,365.57 = 755.29/x
  3. Step 3: Cross multiply
    1,578.83x = 2,365.57 × 755.29
  4. Step 4: Simplify right side
    1,578.83x = 1,786,695.27
  5. Step 5: Solve for x
    x = 1,786,695.27/1,578.83
  6. Step 6: Final answer
    x = 1,131.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.