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Finding the Fourth Proportional to 755.96, 1,045.32 and 600.44

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Solution

The fourth proportional to 755.96, 1,045.32 and 600.44 is: 830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.96 : 1,045.32 = 600.44 : x
  2. Step 2: Convert to fraction form
    755.96/1,045.32 = 600.44/x
  3. Step 3: Cross multiply
    755.96x = 1,045.32 × 600.44
  4. Step 4: Simplify right side
    755.96x = 627,651.94
  5. Step 5: Solve for x
    x = 627,651.94/755.96
  6. Step 6: Final answer
    x = 830.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.