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Finding the Fourth Proportional to 1,369.37, 2,054.42 and 491.96

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Solution

The fourth proportional to 1,369.37, 2,054.42 and 491.96 is: 738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.37 : 2,054.42 = 491.96 : x
  2. Step 2: Convert to fraction form
    1,369.37/2,054.42 = 491.96/x
  3. Step 3: Cross multiply
    1,369.37x = 2,054.42 × 491.96
  4. Step 4: Simplify right side
    1,369.37x = 1,010,692.46
  5. Step 5: Solve for x
    x = 1,010,692.46/1,369.37
  6. Step 6: Final answer
    x = 738.07

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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.