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Finding the Fourth Proportional to 718.54, 1,078.26 and 307.68

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Solution

The fourth proportional to 718.54, 1,078.26 and 307.68 is: 461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.54 : 1,078.26 = 307.68 : x
  2. Step 2: Convert to fraction form
    718.54/1,078.26 = 307.68/x
  3. Step 3: Cross multiply
    718.54x = 1,078.26 × 307.68
  4. Step 4: Simplify right side
    718.54x = 331,759.04
  5. Step 5: Solve for x
    x = 331,759.04/718.54
  6. Step 6: Final answer
    x = 461.71

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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.