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Finding the Fourth Proportional to 1,188.20, 1,639.79 and 664.23

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Solution

The fourth proportional to 1,188.20, 1,639.79 and 664.23 is: 916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.20 : 1,639.79 = 664.23 : x
  2. Step 2: Convert to fraction form
    1,188.20/1,639.79 = 664.23/x
  3. Step 3: Cross multiply
    1,188.20x = 1,639.79 × 664.23
  4. Step 4: Simplify right side
    1,188.20x = 1,089,197.71
  5. Step 5: Solve for x
    x = 1,089,197.71/1,188.20
  6. Step 6: Final answer
    x = 916.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.