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Finding the Fourth Proportional to 1,322.30, 1,983.93 and 620.13

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Solution

The fourth proportional to 1,322.30, 1,983.93 and 620.13 is: 930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.30 : 1,983.93 = 620.13 : x
  2. Step 2: Convert to fraction form
    1,322.30/1,983.93 = 620.13/x
  3. Step 3: Cross multiply
    1,322.30x = 1,983.93 × 620.13
  4. Step 4: Simplify right side
    1,322.30x = 1,230,294.51
  5. Step 5: Solve for x
    x = 1,230,294.51/1,322.30
  6. Step 6: Final answer
    x = 930.42

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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.