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Finding the Fourth Proportional to 1,367.70, 2,051.07 and 393.54

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Solution

The fourth proportional to 1,367.70, 2,051.07 and 393.54 is: 590.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.70 : 2,051.07 = 393.54 : x
  2. Step 2: Convert to fraction form
    1,367.70/2,051.07 = 393.54/x
  3. Step 3: Cross multiply
    1,367.70x = 2,051.07 × 393.54
  4. Step 4: Simplify right side
    1,367.70x = 807,178.09
  5. Step 5: Solve for x
    x = 807,178.09/1,367.70
  6. Step 6: Final answer
    x = 590.17

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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.