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Finding the Fourth Proportional to 1,096.66, 1,521.16 and 1,057.26

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Solution

The fourth proportional to 1,096.66, 1,521.16 and 1,057.26 is: 1,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.66 : 1,521.16 = 1,057.26 : x
  2. Step 2: Convert to fraction form
    1,096.66/1,521.16 = 1,057.26/x
  3. Step 3: Cross multiply
    1,096.66x = 1,521.16 × 1,057.26
  4. Step 4: Simplify right side
    1,096.66x = 1,608,261.62
  5. Step 5: Solve for x
    x = 1,608,261.62/1,096.66
  6. Step 6: Final answer
    x = 1,466.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.