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Finding the Fourth Proportional to 964.96, 1,447.13 and 416.99

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Solution

The fourth proportional to 964.96, 1,447.13 and 416.99 is: 625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.96 : 1,447.13 = 416.99 : x
  2. Step 2: Convert to fraction form
    964.96/1,447.13 = 416.99/x
  3. Step 3: Cross multiply
    964.96x = 1,447.13 × 416.99
  4. Step 4: Simplify right side
    964.96x = 603,443.40
  5. Step 5: Solve for x
    x = 603,443.40/964.96
  6. Step 6: Final answer
    x = 625.36

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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.