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Finding the Fourth Proportional to 1,379.95, 1,903.93 and 790.37

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Solution

The fourth proportional to 1,379.95, 1,903.93 and 790.37 is: 1,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.95 : 1,903.93 = 790.37 : x
  2. Step 2: Convert to fraction form
    1,379.95/1,903.93 = 790.37/x
  3. Step 3: Cross multiply
    1,379.95x = 1,903.93 × 790.37
  4. Step 4: Simplify right side
    1,379.95x = 1,504,797.66
  5. Step 5: Solve for x
    x = 1,504,797.66/1,379.95
  6. Step 6: Final answer
    x = 1,090.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.