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Finding the Fourth Proportional to 976.62, 1,464.13 and 456.37

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Solution

The fourth proportional to 976.62, 1,464.13 and 456.37 is: 684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.62 : 1,464.13 = 456.37 : x
  2. Step 2: Convert to fraction form
    976.62/1,464.13 = 456.37/x
  3. Step 3: Cross multiply
    976.62x = 1,464.13 × 456.37
  4. Step 4: Simplify right side
    976.62x = 668,177.12
  5. Step 5: Solve for x
    x = 668,177.12/976.62
  6. Step 6: Final answer
    x = 684.17

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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.