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Finding the Fourth Proportional to 806.55, 1,209.42 and 513.54

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Solution

The fourth proportional to 806.55, 1,209.42 and 513.54 is: 770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.55 : 1,209.42 = 513.54 : x
  2. Step 2: Convert to fraction form
    806.55/1,209.42 = 513.54/x
  3. Step 3: Cross multiply
    806.55x = 1,209.42 × 513.54
  4. Step 4: Simplify right side
    806.55x = 621,085.55
  5. Step 5: Solve for x
    x = 621,085.55/806.55
  6. Step 6: Final answer
    x = 770.05

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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.