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Finding the Fourth Proportional to 1,082.81, 1,623.87 and 352.21

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Solution

The fourth proportional to 1,082.81, 1,623.87 and 352.21 is: 528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.81 : 1,623.87 = 352.21 : x
  2. Step 2: Convert to fraction form
    1,082.81/1,623.87 = 352.21/x
  3. Step 3: Cross multiply
    1,082.81x = 1,623.87 × 352.21
  4. Step 4: Simplify right side
    1,082.81x = 571,943.25
  5. Step 5: Solve for x
    x = 571,943.25/1,082.81
  6. Step 6: Final answer
    x = 528.20

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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.