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Finding the Fourth Proportional to 1,091.10, 1,636.33 and 311.05

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Solution

The fourth proportional to 1,091.10, 1,636.33 and 311.05 is: 466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.10 : 1,636.33 = 311.05 : x
  2. Step 2: Convert to fraction form
    1,091.10/1,636.33 = 311.05/x
  3. Step 3: Cross multiply
    1,091.10x = 1,636.33 × 311.05
  4. Step 4: Simplify right side
    1,091.10x = 508,980.45
  5. Step 5: Solve for x
    x = 508,980.45/1,091.10
  6. Step 6: Final answer
    x = 466.48

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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.