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Finding the Fourth Proportional to 1,313.82, 1,970.37 and 491.82

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Solution

The fourth proportional to 1,313.82, 1,970.37 and 491.82 is: 737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.82 : 1,970.37 = 491.82 : x
  2. Step 2: Convert to fraction form
    1,313.82/1,970.37 = 491.82/x
  3. Step 3: Cross multiply
    1,313.82x = 1,970.37 × 491.82
  4. Step 4: Simplify right side
    1,313.82x = 969,067.37
  5. Step 5: Solve for x
    x = 969,067.37/1,313.82
  6. Step 6: Final answer
    x = 737.60

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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.