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Finding the Fourth Proportional to 985.20, 1,477.80 and 639.60

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Solution

The fourth proportional to 985.20, 1,477.80 and 639.60 is: 959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.20 : 1,477.80 = 639.60 : x
  2. Step 2: Convert to fraction form
    985.20/1,477.80 = 639.60/x
  3. Step 3: Cross multiply
    985.20x = 1,477.80 × 639.60
  4. Step 4: Simplify right side
    985.20x = 945,200.88
  5. Step 5: Solve for x
    x = 945,200.88/985.20
  6. Step 6: Final answer
    x = 959.40

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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.