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Finding the Fourth Proportional to 1,316.45, 1,974.67 and 739.73

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Solution

The fourth proportional to 1,316.45, 1,974.67 and 739.73 is: 1,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.45 : 1,974.67 = 739.73 : x
  2. Step 2: Convert to fraction form
    1,316.45/1,974.67 = 739.73/x
  3. Step 3: Cross multiply
    1,316.45x = 1,974.67 × 739.73
  4. Step 4: Simplify right side
    1,316.45x = 1,460,722.64
  5. Step 5: Solve for x
    x = 1,460,722.64/1,316.45
  6. Step 6: Final answer
    x = 1,109.59

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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.