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Finding the Fourth Proportional to 1,082.54, 1,623.96 and 389.07

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Solution

The fourth proportional to 1,082.54, 1,623.96 and 389.07 is: 583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.54 : 1,623.96 = 389.07 : x
  2. Step 2: Convert to fraction form
    1,082.54/1,623.96 = 389.07/x
  3. Step 3: Cross multiply
    1,082.54x = 1,623.96 × 389.07
  4. Step 4: Simplify right side
    1,082.54x = 631,834.12
  5. Step 5: Solve for x
    x = 631,834.12/1,082.54
  6. Step 6: Final answer
    x = 583.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.