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Finding the Fourth Proportional to 964.73, 1,447.56 and 599.42

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Solution

The fourth proportional to 964.73, 1,447.56 and 599.42 is: 899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.73 : 1,447.56 = 599.42 : x
  2. Step 2: Convert to fraction form
    964.73/1,447.56 = 599.42/x
  3. Step 3: Cross multiply
    964.73x = 1,447.56 × 599.42
  4. Step 4: Simplify right side
    964.73x = 867,696.42
  5. Step 5: Solve for x
    x = 867,696.42/964.73
  6. Step 6: Final answer
    x = 899.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.