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Finding the Fourth Proportional to 976.28, 1,464.42 and 456

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Solution

The fourth proportional to 976.28, 1,464.42 and 456 is: 684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.28 : 1,464.42 = 456 : x
  2. Step 2: Convert to fraction form
    976.28/1,464.42 = 456/x
  3. Step 3: Cross multiply
    976.28x = 1,464.42 × 456
  4. Step 4: Simplify right side
    976.28x = 667,775.52
  5. Step 5: Solve for x
    x = 667,775.52/976.28
  6. Step 6: Final answer
    x = 684.00

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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.