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Finding the Fourth Proportional to 964.80, 1,446.12 and 772.02

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Solution

The fourth proportional to 964.80, 1,446.12 and 772.02 is: 1,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.80 : 1,446.12 = 772.02 : x
  2. Step 2: Convert to fraction form
    964.80/1,446.12 = 772.02/x
  3. Step 3: Cross multiply
    964.80x = 1,446.12 × 772.02
  4. Step 4: Simplify right side
    964.80x = 1,116,433.56
  5. Step 5: Solve for x
    x = 1,116,433.56/964.80
  6. Step 6: Final answer
    x = 1,157.17

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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.