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Finding the Fourth Proportional to 986.21, 1,479.66 and 438.34

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Solution

The fourth proportional to 986.21, 1,479.66 and 438.34 is: 657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.21 : 1,479.66 = 438.34 : x
  2. Step 2: Convert to fraction form
    986.21/1,479.66 = 438.34/x
  3. Step 3: Cross multiply
    986.21x = 1,479.66 × 438.34
  4. Step 4: Simplify right side
    986.21x = 648,594.16
  5. Step 5: Solve for x
    x = 648,594.16/986.21
  6. Step 6: Final answer
    x = 657.66

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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.