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Finding the Fourth Proportional to 699.35, 1,048.96 and 179.36

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Solution

The fourth proportional to 699.35, 1,048.96 and 179.36 is: 269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.35 : 1,048.96 = 179.36 : x
  2. Step 2: Convert to fraction form
    699.35/1,048.96 = 179.36/x
  3. Step 3: Cross multiply
    699.35x = 1,048.96 × 179.36
  4. Step 4: Simplify right side
    699.35x = 188,146.53
  5. Step 5: Solve for x
    x = 188,146.53/699.35
  6. Step 6: Final answer
    x = 269.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.