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Finding the Fourth Proportional to 715.64, 1,078.82 and 668.66

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Solution

The fourth proportional to 715.64, 1,078.82 and 668.66 is: 1,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.64 : 1,078.82 = 668.66 : x
  2. Step 2: Convert to fraction form
    715.64/1,078.82 = 668.66/x
  3. Step 3: Cross multiply
    715.64x = 1,078.82 × 668.66
  4. Step 4: Simplify right side
    715.64x = 721,357.55
  5. Step 5: Solve for x
    x = 721,357.55/715.64
  6. Step 6: Final answer
    x = 1,008.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.