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Finding the Fourth Proportional to 993.21, 1,488.44 and 963.64

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Solution

The fourth proportional to 993.21, 1,488.44 and 963.64 is: 1,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.21 : 1,488.44 = 963.64 : x
  2. Step 2: Convert to fraction form
    993.21/1,488.44 = 963.64/x
  3. Step 3: Cross multiply
    993.21x = 1,488.44 × 963.64
  4. Step 4: Simplify right side
    993.21x = 1,434,324.59
  5. Step 5: Solve for x
    x = 1,434,324.59/993.21
  6. Step 6: Final answer
    x = 1,444.14

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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.