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Finding the Fourth Proportional to 1,277.33, 1,916.27 and 412.25

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Solution

The fourth proportional to 1,277.33, 1,916.27 and 412.25 is: 618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.33 : 1,916.27 = 412.25 : x
  2. Step 2: Convert to fraction form
    1,277.33/1,916.27 = 412.25/x
  3. Step 3: Cross multiply
    1,277.33x = 1,916.27 × 412.25
  4. Step 4: Simplify right side
    1,277.33x = 789,970.66
  5. Step 5: Solve for x
    x = 789,970.66/1,277.33
  6. Step 6: Final answer
    x = 618.46

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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.