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Finding the Fourth Proportional to 546.80, 766.60 and 546.80

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Solution

The fourth proportional to 546.80, 766.60 and 546.80 is: 766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.80 : 766.60 = 546.80 : x
  2. Step 2: Convert to fraction form
    546.80/766.60 = 546.80/x
  3. Step 3: Cross multiply
    546.80x = 766.60 × 546.80
  4. Step 4: Simplify right side
    546.80x = 419,176.88
  5. Step 5: Solve for x
    x = 419,176.88/546.80
  6. Step 6: Final answer
    x = 766.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.