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Finding the Fourth Proportional to 1,396.64, 1,927.44 and 799.32

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Solution

The fourth proportional to 1,396.64, 1,927.44 and 799.32 is: 1,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.64 : 1,927.44 = 799.32 : x
  2. Step 2: Convert to fraction form
    1,396.64/1,927.44 = 799.32/x
  3. Step 3: Cross multiply
    1,396.64x = 1,927.44 × 799.32
  4. Step 4: Simplify right side
    1,396.64x = 1,540,641.34
  5. Step 5: Solve for x
    x = 1,540,641.34/1,396.64
  6. Step 6: Final answer
    x = 1,103.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.