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Finding the Fourth Proportional to 1,091.52, 1,636.80 and 514.56

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Solution

The fourth proportional to 1,091.52, 1,636.80 and 514.56 is: 771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.52 : 1,636.80 = 514.56 : x
  2. Step 2: Convert to fraction form
    1,091.52/1,636.80 = 514.56/x
  3. Step 3: Cross multiply
    1,091.52x = 1,636.80 × 514.56
  4. Step 4: Simplify right side
    1,091.52x = 842,231.81
  5. Step 5: Solve for x
    x = 842,231.81/1,091.52
  6. Step 6: Final answer
    x = 771.61

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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.