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Finding the Fourth Proportional to 766.88, 1,148.50 and 522.68

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Solution

The fourth proportional to 766.88, 1,148.50 and 522.68 is: 782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.88 : 1,148.50 = 522.68 : x
  2. Step 2: Convert to fraction form
    766.88/1,148.50 = 522.68/x
  3. Step 3: Cross multiply
    766.88x = 1,148.50 × 522.68
  4. Step 4: Simplify right side
    766.88x = 600,297.98
  5. Step 5: Solve for x
    x = 600,297.98/766.88
  6. Step 6: Final answer
    x = 782.78

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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.