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Finding the Fourth Proportional to 976.56, 1,463.96 and 566.04

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Solution

The fourth proportional to 976.56, 1,463.96 and 566.04 is: 848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.56 : 1,463.96 = 566.04 : x
  2. Step 2: Convert to fraction form
    976.56/1,463.96 = 566.04/x
  3. Step 3: Cross multiply
    976.56x = 1,463.96 × 566.04
  4. Step 4: Simplify right side
    976.56x = 828,659.92
  5. Step 5: Solve for x
    x = 828,659.92/976.56
  6. Step 6: Final answer
    x = 848.55

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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.