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Finding the Fourth Proportional to 1,141.57, 1,704.10 and 1,003.18

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Solution

The fourth proportional to 1,141.57, 1,704.10 and 1,003.18 is: 1,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.57 : 1,704.10 = 1,003.18 : x
  2. Step 2: Convert to fraction form
    1,141.57/1,704.10 = 1,003.18/x
  3. Step 3: Cross multiply
    1,141.57x = 1,704.10 × 1,003.18
  4. Step 4: Simplify right side
    1,141.57x = 1,709,517.35
  5. Step 5: Solve for x
    x = 1,709,517.35/1,141.57
  6. Step 6: Final answer
    x = 1,497.51

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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.