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Finding the Fourth Proportional to 1,313.93, 1,969.83 and 491.75

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Solution

The fourth proportional to 1,313.93, 1,969.83 and 491.75 is: 737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.93 : 1,969.83 = 491.75 : x
  2. Step 2: Convert to fraction form
    1,313.93/1,969.83 = 491.75/x
  3. Step 3: Cross multiply
    1,313.93x = 1,969.83 × 491.75
  4. Step 4: Simplify right side
    1,313.93x = 968,654.05
  5. Step 5: Solve for x
    x = 968,654.05/1,313.93
  6. Step 6: Final answer
    x = 737.22

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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.