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Finding the Fourth Proportional to 807.67, 1,209.53 and 546.75

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Solution

The fourth proportional to 807.67, 1,209.53 and 546.75 is: 818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.67 : 1,209.53 = 546.75 : x
  2. Step 2: Convert to fraction form
    807.67/1,209.53 = 546.75/x
  3. Step 3: Cross multiply
    807.67x = 1,209.53 × 546.75
  4. Step 4: Simplify right side
    807.67x = 661,311.89
  5. Step 5: Solve for x
    x = 661,311.89/807.67
  6. Step 6: Final answer
    x = 818.79

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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.