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Finding the Fourth Proportional to 976.37, 1,464.83 and 514.04

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Solution

The fourth proportional to 976.37, 1,464.83 and 514.04 is: 771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.37 : 1,464.83 = 514.04 : x
  2. Step 2: Convert to fraction form
    976.37/1,464.83 = 514.04/x
  3. Step 3: Cross multiply
    976.37x = 1,464.83 × 514.04
  4. Step 4: Simplify right side
    976.37x = 752,971.32
  5. Step 5: Solve for x
    x = 752,971.32/976.37
  6. Step 6: Final answer
    x = 771.20

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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.