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Finding the Fourth Proportional to 977.20, 1,464.20 and 839.60

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Solution

The fourth proportional to 977.20, 1,464.20 and 839.60 is: 1,258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.20 : 1,464.20 = 839.60 : x
  2. Step 2: Convert to fraction form
    977.20/1,464.20 = 839.60/x
  3. Step 3: Cross multiply
    977.20x = 1,464.20 × 839.60
  4. Step 4: Simplify right side
    977.20x = 1,229,342.32
  5. Step 5: Solve for x
    x = 1,229,342.32/977.20
  6. Step 6: Final answer
    x = 1,258.03

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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.