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Finding the Fourth Proportional to 1,091.10, 1,633.05 and 1,004.70

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Solution

The fourth proportional to 1,091.10, 1,633.05 and 1,004.70 is: 1,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.10 : 1,633.05 = 1,004.70 : x
  2. Step 2: Convert to fraction form
    1,091.10/1,633.05 = 1,004.70/x
  3. Step 3: Cross multiply
    1,091.10x = 1,633.05 × 1,004.70
  4. Step 4: Simplify right side
    1,091.10x = 1,640,725.34
  5. Step 5: Solve for x
    x = 1,640,725.34/1,091.10
  6. Step 6: Final answer
    x = 1,503.74

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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.