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Finding the Fourth Proportional to 785.54, 1,176.96 and 541.19

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Solution

The fourth proportional to 785.54, 1,176.96 and 541.19 is: 810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.54 : 1,176.96 = 541.19 : x
  2. Step 2: Convert to fraction form
    785.54/1,176.96 = 541.19/x
  3. Step 3: Cross multiply
    785.54x = 1,176.96 × 541.19
  4. Step 4: Simplify right side
    785.54x = 636,958.98
  5. Step 5: Solve for x
    x = 636,958.98/785.54
  6. Step 6: Final answer
    x = 810.85

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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.