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Finding the Fourth Proportional to 1,313.22, 1,969.77 and 491.43

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Solution

The fourth proportional to 1,313.22, 1,969.77 and 491.43 is: 737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.22 : 1,969.77 = 491.43 : x
  2. Step 2: Convert to fraction form
    1,313.22/1,969.77 = 491.43/x
  3. Step 3: Cross multiply
    1,313.22x = 1,969.77 × 491.43
  4. Step 4: Simplify right side
    1,313.22x = 968,013.30
  5. Step 5: Solve for x
    x = 968,013.30/1,313.22
  6. Step 6: Final answer
    x = 737.13

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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.