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Finding the Fourth Proportional to 855.12, 1,284.30 and 732

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Solution

The fourth proportional to 855.12, 1,284.30 and 732 is: 1,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.12 : 1,284.30 = 732 : x
  2. Step 2: Convert to fraction form
    855.12/1,284.30 = 732/x
  3. Step 3: Cross multiply
    855.12x = 1,284.30 × 732
  4. Step 4: Simplify right side
    855.12x = 940,107.60
  5. Step 5: Solve for x
    x = 940,107.60/855.12
  6. Step 6: Final answer
    x = 1,099.39

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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.