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Finding the Fourth Proportional to 974.72, 1,462.80 and 784.64

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Solution

The fourth proportional to 974.72, 1,462.80 and 784.64 is: 1,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.72 : 1,462.80 = 784.64 : x
  2. Step 2: Convert to fraction form
    974.72/1,462.80 = 784.64/x
  3. Step 3: Cross multiply
    974.72x = 1,462.80 × 784.64
  4. Step 4: Simplify right side
    974.72x = 1,147,771.39
  5. Step 5: Solve for x
    x = 1,147,771.39/974.72
  6. Step 6: Final answer
    x = 1,177.54

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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.