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Finding the Fourth Proportional to 667.58, 1,002.78 and 645.71

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Solution

The fourth proportional to 667.58, 1,002.78 and 645.71 is: 969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.58 : 1,002.78 = 645.71 : x
  2. Step 2: Convert to fraction form
    667.58/1,002.78 = 645.71/x
  3. Step 3: Cross multiply
    667.58x = 1,002.78 × 645.71
  4. Step 4: Simplify right side
    667.58x = 647,500.06
  5. Step 5: Solve for x
    x = 647,500.06/667.58
  6. Step 6: Final answer
    x = 969.93

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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.