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Finding the Fourth Proportional to 1,082.48, 1,623.71 and 389.02

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Solution

The fourth proportional to 1,082.48, 1,623.71 and 389.02 is: 583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.48 : 1,623.71 = 389.02 : x
  2. Step 2: Convert to fraction form
    1,082.48/1,623.71 = 389.02/x
  3. Step 3: Cross multiply
    1,082.48x = 1,623.71 × 389.02
  4. Step 4: Simplify right side
    1,082.48x = 631,655.66
  5. Step 5: Solve for x
    x = 631,655.66/1,082.48
  6. Step 6: Final answer
    x = 583.53

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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.