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Finding the Fourth Proportional to 873.29, 1,205.10 and 480.33

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Solution

The fourth proportional to 873.29, 1,205.10 and 480.33 is: 662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.29 : 1,205.10 = 480.33 : x
  2. Step 2: Convert to fraction form
    873.29/1,205.10 = 480.33/x
  3. Step 3: Cross multiply
    873.29x = 1,205.10 × 480.33
  4. Step 4: Simplify right side
    873.29x = 578,845.68
  5. Step 5: Solve for x
    x = 578,845.68/873.29
  6. Step 6: Final answer
    x = 662.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.