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Finding the Fourth Proportional to 1,280.53, 1,766.23 and 1,176.04

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Solution

The fourth proportional to 1,280.53, 1,766.23 and 1,176.04 is: 1,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.53 : 1,766.23 = 1,176.04 : x
  2. Step 2: Convert to fraction form
    1,280.53/1,766.23 = 1,176.04/x
  3. Step 3: Cross multiply
    1,280.53x = 1,766.23 × 1,176.04
  4. Step 4: Simplify right side
    1,280.53x = 2,077,157.13
  5. Step 5: Solve for x
    x = 2,077,157.13/1,280.53
  6. Step 6: Final answer
    x = 1,622.11

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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.