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Finding the Fourth Proportional to 966.10, 1,446.75 and 828.02

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Solution

The fourth proportional to 966.10, 1,446.75 and 828.02 is: 1,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.10 : 1,446.75 = 828.02 : x
  2. Step 2: Convert to fraction form
    966.10/1,446.75 = 828.02/x
  3. Step 3: Cross multiply
    966.10x = 1,446.75 × 828.02
  4. Step 4: Simplify right side
    966.10x = 1,197,937.94
  5. Step 5: Solve for x
    x = 1,197,937.94/966.10
  6. Step 6: Final answer
    x = 1,239.97

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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.