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Finding the Fourth Proportional to 1,193.04, 1,645.44 and 799.32

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Solution

The fourth proportional to 1,193.04, 1,645.44 and 799.32 is: 1,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.04 : 1,645.44 = 799.32 : x
  2. Step 2: Convert to fraction form
    1,193.04/1,645.44 = 799.32/x
  3. Step 3: Cross multiply
    1,193.04x = 1,645.44 × 799.32
  4. Step 4: Simplify right side
    1,193.04x = 1,315,233.10
  5. Step 5: Solve for x
    x = 1,315,233.10/1,193.04
  6. Step 6: Final answer
    x = 1,102.42

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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.