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Finding the Fourth Proportional to 680.35, 1,020.34 and 186.64

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Solution

The fourth proportional to 680.35, 1,020.34 and 186.64 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.35 : 1,020.34 = 186.64 : x
  2. Step 2: Convert to fraction form
    680.35/1,020.34 = 186.64/x
  3. Step 3: Cross multiply
    680.35x = 1,020.34 × 186.64
  4. Step 4: Simplify right side
    680.35x = 190,438.51
  5. Step 5: Solve for x
    x = 190,438.51/680.35
  6. Step 6: Final answer
    x = 279.91

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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.