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Finding the Fourth Proportional to 1,550.12, 2,324.84 and 454.56

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Solution

The fourth proportional to 1,550.12, 2,324.84 and 454.56 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.12 : 2,324.84 = 454.56 : x
  2. Step 2: Convert to fraction form
    1,550.12/2,324.84 = 454.56/x
  3. Step 3: Cross multiply
    1,550.12x = 2,324.84 × 454.56
  4. Step 4: Simplify right side
    1,550.12x = 1,056,779.27
  5. Step 5: Solve for x
    x = 1,056,779.27/1,550.12
  6. Step 6: Final answer
    x = 681.74

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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.