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Finding the Fourth Proportional to 1,317.79, 1,977.41 and 668.58

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Solution

The fourth proportional to 1,317.79, 1,977.41 and 668.58 is: 1,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.79 : 1,977.41 = 668.58 : x
  2. Step 2: Convert to fraction form
    1,317.79/1,977.41 = 668.58/x
  3. Step 3: Cross multiply
    1,317.79x = 1,977.41 × 668.58
  4. Step 4: Simplify right side
    1,317.79x = 1,322,056.78
  5. Step 5: Solve for x
    x = 1,322,056.78/1,317.79
  6. Step 6: Final answer
    x = 1,003.24

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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.