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Finding the Fourth Proportional to 1,101.34, 1,651.77 and 321.34

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Solution

The fourth proportional to 1,101.34, 1,651.77 and 321.34 is: 481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.34 : 1,651.77 = 321.34 : x
  2. Step 2: Convert to fraction form
    1,101.34/1,651.77 = 321.34/x
  3. Step 3: Cross multiply
    1,101.34x = 1,651.77 × 321.34
  4. Step 4: Simplify right side
    1,101.34x = 530,779.77
  5. Step 5: Solve for x
    x = 530,779.77/1,101.34
  6. Step 6: Final answer
    x = 481.94

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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.