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Finding the Fourth Proportional to 1,313.79, 1,970.97 and 389.37

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Solution

The fourth proportional to 1,313.79, 1,970.97 and 389.37 is: 584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.79 : 1,970.97 = 389.37 : x
  2. Step 2: Convert to fraction form
    1,313.79/1,970.97 = 389.37/x
  3. Step 3: Cross multiply
    1,313.79x = 1,970.97 × 389.37
  4. Step 4: Simplify right side
    1,313.79x = 767,436.59
  5. Step 5: Solve for x
    x = 767,436.59/1,313.79
  6. Step 6: Final answer
    x = 584.14

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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.