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Finding the Fourth Proportional to 802.35, 1,198.44 and 639.54

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Solution

The fourth proportional to 802.35, 1,198.44 and 639.54 is: 955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.35 : 1,198.44 = 639.54 : x
  2. Step 2: Convert to fraction form
    802.35/1,198.44 = 639.54/x
  3. Step 3: Cross multiply
    802.35x = 1,198.44 × 639.54
  4. Step 4: Simplify right side
    802.35x = 766,450.32
  5. Step 5: Solve for x
    x = 766,450.32/802.35
  6. Step 6: Final answer
    x = 955.26

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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.