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Finding the Fourth Proportional to 976.81, 1,466.36 and 771.52

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Solution

The fourth proportional to 976.81, 1,466.36 and 771.52 is: 1,158.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.81 : 1,466.36 = 771.52 : x
  2. Step 2: Convert to fraction form
    976.81/1,466.36 = 771.52/x
  3. Step 3: Cross multiply
    976.81x = 1,466.36 × 771.52
  4. Step 4: Simplify right side
    976.81x = 1,131,326.07
  5. Step 5: Solve for x
    x = 1,131,326.07/976.81
  6. Step 6: Final answer
    x = 1,158.18

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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.