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Finding the Fourth Proportional to 1,313.76, 1,969.92 and 389.04

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Solution

The fourth proportional to 1,313.76, 1,969.92 and 389.04 is: 583.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.76 : 1,969.92 = 389.04 : x
  2. Step 2: Convert to fraction form
    1,313.76/1,969.92 = 389.04/x
  3. Step 3: Cross multiply
    1,313.76x = 1,969.92 × 389.04
  4. Step 4: Simplify right side
    1,313.76x = 766,377.68
  5. Step 5: Solve for x
    x = 766,377.68/1,313.76
  6. Step 6: Final answer
    x = 583.35

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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.