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Finding the Fourth Proportional to 976.98, 1,464.12 and 701.85

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Solution

The fourth proportional to 976.98, 1,464.12 and 701.85 is: 1,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.98 : 1,464.12 = 701.85 : x
  2. Step 2: Convert to fraction form
    976.98/1,464.12 = 701.85/x
  3. Step 3: Cross multiply
    976.98x = 1,464.12 × 701.85
  4. Step 4: Simplify right side
    976.98x = 1,027,592.62
  5. Step 5: Solve for x
    x = 1,027,592.62/976.98
  6. Step 6: Final answer
    x = 1,051.81

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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.