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Finding the Fourth Proportional to 1,278.03, 1,917.51 and 548.17

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Solution

The fourth proportional to 1,278.03, 1,917.51 and 548.17 is: 822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.03 : 1,917.51 = 548.17 : x
  2. Step 2: Convert to fraction form
    1,278.03/1,917.51 = 548.17/x
  3. Step 3: Cross multiply
    1,278.03x = 1,917.51 × 548.17
  4. Step 4: Simplify right side
    1,278.03x = 1,051,121.46
  5. Step 5: Solve for x
    x = 1,051,121.46/1,278.03
  6. Step 6: Final answer
    x = 822.45

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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.