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Finding the Fourth Proportional to 976.24, 1,464.81 and 455.95

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Solution

The fourth proportional to 976.24, 1,464.81 and 455.95 is: 684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.24 : 1,464.81 = 455.95 : x
  2. Step 2: Convert to fraction form
    976.24/1,464.81 = 455.95/x
  3. Step 3: Cross multiply
    976.24x = 1,464.81 × 455.95
  4. Step 4: Simplify right side
    976.24x = 667,880.12
  5. Step 5: Solve for x
    x = 667,880.12/976.24
  6. Step 6: Final answer
    x = 684.14

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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.