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Finding the Fourth Proportional to 986.71, 1,478.08 and 491.62

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Solution

The fourth proportional to 986.71, 1,478.08 and 491.62 is: 736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.71 : 1,478.08 = 491.62 : x
  2. Step 2: Convert to fraction form
    986.71/1,478.08 = 491.62/x
  3. Step 3: Cross multiply
    986.71x = 1,478.08 × 491.62
  4. Step 4: Simplify right side
    986.71x = 726,653.69
  5. Step 5: Solve for x
    x = 726,653.69/986.71
  6. Step 6: Final answer
    x = 736.44

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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.