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Finding the Fourth Proportional to 1,274.70, 1,912.10 and 397.30

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Solution

The fourth proportional to 1,274.70, 1,912.10 and 397.30 is: 595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.70 : 1,912.10 = 397.30 : x
  2. Step 2: Convert to fraction form
    1,274.70/1,912.10 = 397.30/x
  3. Step 3: Cross multiply
    1,274.70x = 1,912.10 × 397.30
  4. Step 4: Simplify right side
    1,274.70x = 759,677.33
  5. Step 5: Solve for x
    x = 759,677.33/1,274.70
  6. Step 6: Final answer
    x = 595.97

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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.