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Finding the Fourth Proportional to 964.86, 1,447.47 and 315.54

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Solution

The fourth proportional to 964.86, 1,447.47 and 315.54 is: 473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.86 : 1,447.47 = 315.54 : x
  2. Step 2: Convert to fraction form
    964.86/1,447.47 = 315.54/x
  3. Step 3: Cross multiply
    964.86x = 1,447.47 × 315.54
  4. Step 4: Simplify right side
    964.86x = 456,734.68
  5. Step 5: Solve for x
    x = 456,734.68/964.86
  6. Step 6: Final answer
    x = 473.37

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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.