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Finding the Fourth Proportional to 1,141.81, 1,704.45 and 1,003.41

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Solution

The fourth proportional to 1,141.81, 1,704.45 and 1,003.41 is: 1,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.81 : 1,704.45 = 1,003.41 : x
  2. Step 2: Convert to fraction form
    1,141.81/1,704.45 = 1,003.41/x
  3. Step 3: Cross multiply
    1,141.81x = 1,704.45 × 1,003.41
  4. Step 4: Simplify right side
    1,141.81x = 1,710,268.57
  5. Step 5: Solve for x
    x = 1,710,268.57/1,141.81
  6. Step 6: Final answer
    x = 1,497.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.