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Finding the Fourth Proportional to 1,505.12, 2,254.89 and 775.14

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Solution

The fourth proportional to 1,505.12, 2,254.89 and 775.14 is: 1,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.12 : 2,254.89 = 775.14 : x
  2. Step 2: Convert to fraction form
    1,505.12/2,254.89 = 775.14/x
  3. Step 3: Cross multiply
    1,505.12x = 2,254.89 × 775.14
  4. Step 4: Simplify right side
    1,505.12x = 1,747,855.43
  5. Step 5: Solve for x
    x = 1,747,855.43/1,505.12
  6. Step 6: Final answer
    x = 1,161.27

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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.