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Finding the Fourth Proportional to 1,313.43, 1,968.87 and 491.13

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Solution

The fourth proportional to 1,313.43, 1,968.87 and 491.13 is: 736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.43 : 1,968.87 = 491.13 : x
  2. Step 2: Convert to fraction form
    1,313.43/1,968.87 = 491.13/x
  3. Step 3: Cross multiply
    1,313.43x = 1,968.87 × 491.13
  4. Step 4: Simplify right side
    1,313.43x = 966,971.12
  5. Step 5: Solve for x
    x = 966,971.12/1,313.43
  6. Step 6: Final answer
    x = 736.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.