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Finding the Fourth Proportional to 806.16, 1,207.41 and 480.86

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Solution

The fourth proportional to 806.16, 1,207.41 and 480.86 is: 720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.16 : 1,207.41 = 480.86 : x
  2. Step 2: Convert to fraction form
    806.16/1,207.41 = 480.86/x
  3. Step 3: Cross multiply
    806.16x = 1,207.41 × 480.86
  4. Step 4: Simplify right side
    806.16x = 580,595.17
  5. Step 5: Solve for x
    x = 580,595.17/806.16
  6. Step 6: Final answer
    x = 720.20

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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.