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Finding the Fourth Proportional to 878.08, 1,314.02 and 646.44

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Solution

The fourth proportional to 878.08, 1,314.02 and 646.44 is: 967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.08 : 1,314.02 = 646.44 : x
  2. Step 2: Convert to fraction form
    878.08/1,314.02 = 646.44/x
  3. Step 3: Cross multiply
    878.08x = 1,314.02 × 646.44
  4. Step 4: Simplify right side
    878.08x = 849,435.09
  5. Step 5: Solve for x
    x = 849,435.09/878.08
  6. Step 6: Final answer
    x = 967.38

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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.