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Finding the Fourth Proportional to 1,271.09, 1,906.67 and 654.41

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Solution

The fourth proportional to 1,271.09, 1,906.67 and 654.41 is: 981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.09 : 1,906.67 = 654.41 : x
  2. Step 2: Convert to fraction form
    1,271.09/1,906.67 = 654.41/x
  3. Step 3: Cross multiply
    1,271.09x = 1,906.67 × 654.41
  4. Step 4: Simplify right side
    1,271.09x = 1,247,750.32
  5. Step 5: Solve for x
    x = 1,247,750.32/1,271.09
  6. Step 6: Final answer
    x = 981.64

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Why These Related Problems?

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