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Finding the Fourth Proportional to 1,318.76, 1,976.70 and 668.06

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Solution

The fourth proportional to 1,318.76, 1,976.70 and 668.06 is: 1,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.76 : 1,976.70 = 668.06 : x
  2. Step 2: Convert to fraction form
    1,318.76/1,976.70 = 668.06/x
  3. Step 3: Cross multiply
    1,318.76x = 1,976.70 × 668.06
  4. Step 4: Simplify right side
    1,318.76x = 1,320,554.20
  5. Step 5: Solve for x
    x = 1,320,554.20/1,318.76
  6. Step 6: Final answer
    x = 1,001.36

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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.