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Finding the Fourth Proportional to 1,278.08, 1,916.84 and 456.44

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Solution

The fourth proportional to 1,278.08, 1,916.84 and 456.44 is: 684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.08 : 1,916.84 = 456.44 : x
  2. Step 2: Convert to fraction form
    1,278.08/1,916.84 = 456.44/x
  3. Step 3: Cross multiply
    1,278.08x = 1,916.84 × 456.44
  4. Step 4: Simplify right side
    1,278.08x = 874,922.45
  5. Step 5: Solve for x
    x = 874,922.45/1,278.08
  6. Step 6: Final answer
    x = 684.56

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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.