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Finding the Fourth Proportional to 1,016.78, 1,516.42 and 918.36

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Solution

The fourth proportional to 1,016.78, 1,516.42 and 918.36 is: 1,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.78 : 1,516.42 = 918.36 : x
  2. Step 2: Convert to fraction form
    1,016.78/1,516.42 = 918.36/x
  3. Step 3: Cross multiply
    1,016.78x = 1,516.42 × 918.36
  4. Step 4: Simplify right side
    1,016.78x = 1,392,619.47
  5. Step 5: Solve for x
    x = 1,392,619.47/1,016.78
  6. Step 6: Final answer
    x = 1,369.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.