Home / 1,277.56-1,916.41-411.94

Finding the Fourth Proportional to 1,277.56, 1,916.41 and 411.94

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Solution

The fourth proportional to 1,277.56, 1,916.41 and 411.94 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.56 : 1,916.41 = 411.94 : x
  2. Step 2: Convert to fraction form
    1,277.56/1,916.41 = 411.94/x
  3. Step 3: Cross multiply
    1,277.56x = 1,916.41 × 411.94
  4. Step 4: Simplify right side
    1,277.56x = 789,445.94
  5. Step 5: Solve for x
    x = 789,445.94/1,277.56
  6. Step 6: Final answer
    x = 617.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.