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Finding the Fourth Proportional to 976.06, 1,464.77 and 564.62

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Solution

The fourth proportional to 976.06, 1,464.77 and 564.62 is: 847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.06 : 1,464.77 = 564.62 : x
  2. Step 2: Convert to fraction form
    976.06/1,464.77 = 564.62/x
  3. Step 3: Cross multiply
    976.06x = 1,464.77 × 564.62
  4. Step 4: Simplify right side
    976.06x = 827,039.28
  5. Step 5: Solve for x
    x = 827,039.28/976.06
  6. Step 6: Final answer
    x = 847.33

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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.