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Finding the Fourth Proportional to 855.60, 1,280.88 and 797.28

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Solution

The fourth proportional to 855.60, 1,280.88 and 797.28 is: 1,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.60 : 1,280.88 = 797.28 : x
  2. Step 2: Convert to fraction form
    855.60/1,280.88 = 797.28/x
  3. Step 3: Cross multiply
    855.60x = 1,280.88 × 797.28
  4. Step 4: Simplify right side
    855.60x = 1,021,220.01
  5. Step 5: Solve for x
    x = 1,021,220.01/855.60
  6. Step 6: Final answer
    x = 1,193.57

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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.