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Finding the Fourth Proportional to 1,278.80, 1,916.40 and 548.16

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Solution

The fourth proportional to 1,278.80, 1,916.40 and 548.16 is: 821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.80 : 1,916.40 = 548.16 : x
  2. Step 2: Convert to fraction form
    1,278.80/1,916.40 = 548.16/x
  3. Step 3: Cross multiply
    1,278.80x = 1,916.40 × 548.16
  4. Step 4: Simplify right side
    1,278.80x = 1,050,493.82
  5. Step 5: Solve for x
    x = 1,050,493.82/1,278.80
  6. Step 6: Final answer
    x = 821.47

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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.