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Finding the Fourth Proportional to 1,544.44, 2,315.46 and 763.90

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Solution

The fourth proportional to 1,544.44, 2,315.46 and 763.90 is: 1,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.44 : 2,315.46 = 763.90 : x
  2. Step 2: Convert to fraction form
    1,544.44/2,315.46 = 763.90/x
  3. Step 3: Cross multiply
    1,544.44x = 2,315.46 × 763.90
  4. Step 4: Simplify right side
    1,544.44x = 1,768,787.85
  5. Step 5: Solve for x
    x = 1,768,787.85/1,544.44
  6. Step 6: Final answer
    x = 1,145.26

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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.