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Finding the Fourth Proportional to 1,321.72, 1,982.69 and 347.83

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Solution

The fourth proportional to 1,321.72, 1,982.69 and 347.83 is: 521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.72 : 1,982.69 = 347.83 : x
  2. Step 2: Convert to fraction form
    1,321.72/1,982.69 = 347.83/x
  3. Step 3: Cross multiply
    1,321.72x = 1,982.69 × 347.83
  4. Step 4: Simplify right side
    1,321.72x = 689,633.67
  5. Step 5: Solve for x
    x = 689,633.67/1,321.72
  6. Step 6: Final answer
    x = 521.77

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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.