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Finding the Fourth Proportional to 1,431.33, 2,145.21 and 773.18

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Solution

The fourth proportional to 1,431.33, 2,145.21 and 773.18 is: 1,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.33 : 2,145.21 = 773.18 : x
  2. Step 2: Convert to fraction form
    1,431.33/2,145.21 = 773.18/x
  3. Step 3: Cross multiply
    1,431.33x = 2,145.21 × 773.18
  4. Step 4: Simplify right side
    1,431.33x = 1,658,634.96
  5. Step 5: Solve for x
    x = 1,658,634.96/1,431.33
  6. Step 6: Final answer
    x = 1,158.80

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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.