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Finding the Fourth Proportional to 1,313.68, 1,969.17 and 491.53

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Solution

The fourth proportional to 1,313.68, 1,969.17 and 491.53 is: 736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.68 : 1,969.17 = 491.53 : x
  2. Step 2: Convert to fraction form
    1,313.68/1,969.17 = 491.53/x
  3. Step 3: Cross multiply
    1,313.68x = 1,969.17 × 491.53
  4. Step 4: Simplify right side
    1,313.68x = 967,906.13
  5. Step 5: Solve for x
    x = 967,906.13/1,313.68
  6. Step 6: Final answer
    x = 736.79

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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.