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Finding the Fourth Proportional to 966.72, 1,450.80 and 776.64

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Solution

The fourth proportional to 966.72, 1,450.80 and 776.64 is: 1,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.72 : 1,450.80 = 776.64 : x
  2. Step 2: Convert to fraction form
    966.72/1,450.80 = 776.64/x
  3. Step 3: Cross multiply
    966.72x = 1,450.80 × 776.64
  4. Step 4: Simplify right side
    966.72x = 1,126,749.31
  5. Step 5: Solve for x
    x = 1,126,749.31/966.72
  6. Step 6: Final answer
    x = 1,165.54

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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.