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Finding the Fourth Proportional to 964.32, 1,447.20 and 599.64

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Solution

The fourth proportional to 964.32, 1,447.20 and 599.64 is: 899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.32 : 1,447.20 = 599.64 : x
  2. Step 2: Convert to fraction form
    964.32/1,447.20 = 599.64/x
  3. Step 3: Cross multiply
    964.32x = 1,447.20 × 599.64
  4. Step 4: Simplify right side
    964.32x = 867,799.01
  5. Step 5: Solve for x
    x = 867,799.01/964.32
  6. Step 6: Final answer
    x = 899.91

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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.