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Finding the Fourth Proportional to 1,389.25, 2,082.66 and 567.00

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Solution

The fourth proportional to 1,389.25, 2,082.66 and 567.00 is: 850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.25 : 2,082.66 = 567.00 : x
  2. Step 2: Convert to fraction form
    1,389.25/2,082.66 = 567.00/x
  3. Step 3: Cross multiply
    1,389.25x = 2,082.66 × 567.00
  4. Step 4: Simplify right side
    1,389.25x = 1,180,861.29
  5. Step 5: Solve for x
    x = 1,180,861.29/1,389.25
  6. Step 6: Final answer
    x = 850.00

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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.