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Finding the Fourth Proportional to 1,271.76, 1,906.83 and 491.81

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Solution

The fourth proportional to 1,271.76, 1,906.83 and 491.81 is: 737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.76 : 1,906.83 = 491.81 : x
  2. Step 2: Convert to fraction form
    1,271.76/1,906.83 = 491.81/x
  3. Step 3: Cross multiply
    1,271.76x = 1,906.83 × 491.81
  4. Step 4: Simplify right side
    1,271.76x = 937,795.88
  5. Step 5: Solve for x
    x = 937,795.88/1,271.76
  6. Step 6: Final answer
    x = 737.40

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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.