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Finding the Fourth Proportional to 1,277.63, 1,916.90 and 628.82

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Solution

The fourth proportional to 1,277.63, 1,916.90 and 628.82 is: 943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.63 : 1,916.90 = 628.82 : x
  2. Step 2: Convert to fraction form
    1,277.63/1,916.90 = 628.82/x
  3. Step 3: Cross multiply
    1,277.63x = 1,916.90 × 628.82
  4. Step 4: Simplify right side
    1,277.63x = 1,205,377.05
  5. Step 5: Solve for x
    x = 1,205,377.05/1,277.63
  6. Step 6: Final answer
    x = 943.45

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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.