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Finding the Fourth Proportional to 976.02, 1,464.96 and 514.14

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Solution

The fourth proportional to 976.02, 1,464.96 and 514.14 is: 771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.02 : 1,464.96 = 514.14 : x
  2. Step 2: Convert to fraction form
    976.02/1,464.96 = 514.14/x
  3. Step 3: Cross multiply
    976.02x = 1,464.96 × 514.14
  4. Step 4: Simplify right side
    976.02x = 753,194.53
  5. Step 5: Solve for x
    x = 753,194.53/976.02
  6. Step 6: Final answer
    x = 771.70

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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.