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Finding the Fourth Proportional to 1,800.32, 2,700.62 and 704.67

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Solution

The fourth proportional to 1,800.32, 2,700.62 and 704.67 is: 1,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.32 : 2,700.62 = 704.67 : x
  2. Step 2: Convert to fraction form
    1,800.32/2,700.62 = 704.67/x
  3. Step 3: Cross multiply
    1,800.32x = 2,700.62 × 704.67
  4. Step 4: Simplify right side
    1,800.32x = 1,903,042.37
  5. Step 5: Solve for x
    x = 1,903,042.37/1,800.32
  6. Step 6: Final answer
    x = 1,057.06

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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.