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Finding the Fourth Proportional to 1,096.54, 1,652.18 and 978.64

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Solution

The fourth proportional to 1,096.54, 1,652.18 and 978.64 is: 1,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.54 : 1,652.18 = 978.64 : x
  2. Step 2: Convert to fraction form
    1,096.54/1,652.18 = 978.64/x
  3. Step 3: Cross multiply
    1,096.54x = 1,652.18 × 978.64
  4. Step 4: Simplify right side
    1,096.54x = 1,616,889.44
  5. Step 5: Solve for x
    x = 1,616,889.44/1,096.54
  6. Step 6: Final answer
    x = 1,474.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.