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Finding the Fourth Proportional to 1,091.09, 1,637.10 and 744.81

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Solution

The fourth proportional to 1,091.09, 1,637.10 and 744.81 is: 1,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.09 : 1,637.10 = 744.81 : x
  2. Step 2: Convert to fraction form
    1,091.09/1,637.10 = 744.81/x
  3. Step 3: Cross multiply
    1,091.09x = 1,637.10 × 744.81
  4. Step 4: Simplify right side
    1,091.09x = 1,219,328.45
  5. Step 5: Solve for x
    x = 1,219,328.45/1,091.09
  6. Step 6: Final answer
    x = 1,117.54

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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.