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Finding the Fourth Proportional to 1,388.24, 2,082.52 and 566.40

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Solution

The fourth proportional to 1,388.24, 2,082.52 and 566.40 is: 849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.24 : 2,082.52 = 566.40 : x
  2. Step 2: Convert to fraction form
    1,388.24/2,082.52 = 566.40/x
  3. Step 3: Cross multiply
    1,388.24x = 2,082.52 × 566.40
  4. Step 4: Simplify right side
    1,388.24x = 1,179,539.33
  5. Step 5: Solve for x
    x = 1,179,539.33/1,388.24
  6. Step 6: Final answer
    x = 849.67

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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.