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Finding the Fourth Proportional to 806.21, 1,208.75 and 416.04

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Solution

The fourth proportional to 806.21, 1,208.75 and 416.04 is: 623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.21 : 1,208.75 = 416.04 : x
  2. Step 2: Convert to fraction form
    806.21/1,208.75 = 416.04/x
  3. Step 3: Cross multiply
    806.21x = 1,208.75 × 416.04
  4. Step 4: Simplify right side
    806.21x = 502,886.27
  5. Step 5: Solve for x
    x = 502,886.27/806.21
  6. Step 6: Final answer
    x = 623.77

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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.