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Finding the Fourth Proportional to 977.72, 1,466.37 and 516.02

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Solution

The fourth proportional to 977.72, 1,466.37 and 516.02 is: 773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.72 : 1,466.37 = 516.02 : x
  2. Step 2: Convert to fraction form
    977.72/1,466.37 = 516.02/x
  3. Step 3: Cross multiply
    977.72x = 1,466.37 × 516.02
  4. Step 4: Simplify right side
    977.72x = 756,668.92
  5. Step 5: Solve for x
    x = 756,668.92/977.72
  6. Step 6: Final answer
    x = 773.92

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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.