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Finding the Fourth Proportional to 1,313.97, 1,971.81 and 492.90

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Solution

The fourth proportional to 1,313.97, 1,971.81 and 492.90 is: 739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.97 : 1,971.81 = 492.90 : x
  2. Step 2: Convert to fraction form
    1,313.97/1,971.81 = 492.90/x
  3. Step 3: Cross multiply
    1,313.97x = 1,971.81 × 492.90
  4. Step 4: Simplify right side
    1,313.97x = 971,905.15
  5. Step 5: Solve for x
    x = 971,905.15/1,313.97
  6. Step 6: Final answer
    x = 739.67

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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.