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Finding the Fourth Proportional to 817.89, 1,225.54 and 406.41

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Solution

The fourth proportional to 817.89, 1,225.54 and 406.41 is: 608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.89 : 1,225.54 = 406.41 : x
  2. Step 2: Convert to fraction form
    817.89/1,225.54 = 406.41/x
  3. Step 3: Cross multiply
    817.89x = 1,225.54 × 406.41
  4. Step 4: Simplify right side
    817.89x = 498,071.71
  5. Step 5: Solve for x
    x = 498,071.71/817.89
  6. Step 6: Final answer
    x = 608.97

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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.