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Finding the Fourth Proportional to 1,343.63, 2,013.61 and 694.82

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Solution

The fourth proportional to 1,343.63, 2,013.61 and 694.82 is: 1,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.63 : 2,013.61 = 694.82 : x
  2. Step 2: Convert to fraction form
    1,343.63/2,013.61 = 694.82/x
  3. Step 3: Cross multiply
    1,343.63x = 2,013.61 × 694.82
  4. Step 4: Simplify right side
    1,343.63x = 1,399,096.50
  5. Step 5: Solve for x
    x = 1,399,096.50/1,343.63
  6. Step 6: Final answer
    x = 1,041.28

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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.