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Finding the Fourth Proportional to 1,313.19, 1,968.45 and 851.26

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Solution

The fourth proportional to 1,313.19, 1,968.45 and 851.26 is: 1,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.19 : 1,968.45 = 851.26 : x
  2. Step 2: Convert to fraction form
    1,313.19/1,968.45 = 851.26/x
  3. Step 3: Cross multiply
    1,313.19x = 1,968.45 × 851.26
  4. Step 4: Simplify right side
    1,313.19x = 1,675,663.11
  5. Step 5: Solve for x
    x = 1,675,663.11/1,313.19
  6. Step 6: Final answer
    x = 1,276.03

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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.