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Finding the Fourth Proportional to 955.94, 1,432.22 and 680.60

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Solution

The fourth proportional to 955.94, 1,432.22 and 680.60 is: 1,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.94 : 1,432.22 = 680.60 : x
  2. Step 2: Convert to fraction form
    955.94/1,432.22 = 680.60/x
  3. Step 3: Cross multiply
    955.94x = 1,432.22 × 680.60
  4. Step 4: Simplify right side
    955.94x = 974,769.11
  5. Step 5: Solve for x
    x = 974,769.11/955.94
  6. Step 6: Final answer
    x = 1,019.70

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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.