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Finding the Fourth Proportional to 892.40, 1,336.98 and 777.20

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Solution

The fourth proportional to 892.40, 1,336.98 and 777.20 is: 1,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.40 : 1,336.98 = 777.20 : x
  2. Step 2: Convert to fraction form
    892.40/1,336.98 = 777.20/x
  3. Step 3: Cross multiply
    892.40x = 1,336.98 × 777.20
  4. Step 4: Simplify right side
    892.40x = 1,039,100.86
  5. Step 5: Solve for x
    x = 1,039,100.86/892.40
  6. Step 6: Final answer
    x = 1,164.39

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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.