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Finding the Fourth Proportional to 1,082.39, 1,623.73 and 389.25

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Solution

The fourth proportional to 1,082.39, 1,623.73 and 389.25 is: 583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.39 : 1,623.73 = 389.25 : x
  2. Step 2: Convert to fraction form
    1,082.39/1,623.73 = 389.25/x
  3. Step 3: Cross multiply
    1,082.39x = 1,623.73 × 389.25
  4. Step 4: Simplify right side
    1,082.39x = 632,036.90
  5. Step 5: Solve for x
    x = 632,036.90/1,082.39
  6. Step 6: Final answer
    x = 583.93

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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.