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Finding the Fourth Proportional to 1,544.28, 2,315.46 and 722.72

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Solution

The fourth proportional to 1,544.28, 2,315.46 and 722.72 is: 1,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.28 : 2,315.46 = 722.72 : x
  2. Step 2: Convert to fraction form
    1,544.28/2,315.46 = 722.72/x
  3. Step 3: Cross multiply
    1,544.28x = 2,315.46 × 722.72
  4. Step 4: Simplify right side
    1,544.28x = 1,673,429.25
  5. Step 5: Solve for x
    x = 1,673,429.25/1,544.28
  6. Step 6: Final answer
    x = 1,083.63

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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.