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Finding the Fourth Proportional to 1,100.81, 1,519.07 and 603.44

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Solution

The fourth proportional to 1,100.81, 1,519.07 and 603.44 is: 832.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.81 : 1,519.07 = 603.44 : x
  2. Step 2: Convert to fraction form
    1,100.81/1,519.07 = 603.44/x
  3. Step 3: Cross multiply
    1,100.81x = 1,519.07 × 603.44
  4. Step 4: Simplify right side
    1,100.81x = 916,661.51
  5. Step 5: Solve for x
    x = 916,661.51/1,100.81
  6. Step 6: Final answer
    x = 832.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.