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Finding the Fourth Proportional to 966, 1,448.24 and 478.92

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Solution

The fourth proportional to 966, 1,448.24 and 478.92 is: 718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    966 : 1,448.24 = 478.92 : x
  2. Step 2: Convert to fraction form
    966/1,448.24 = 478.92/x
  3. Step 3: Cross multiply
    966x = 1,448.24 × 478.92
  4. Step 4: Simplify right side
    966x = 693,588.71
  5. Step 5: Solve for x
    x = 693,588.71/966
  6. Step 6: Final answer
    x = 718.00

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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.