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Finding the Fourth Proportional to 976.60, 1,462.96 and 565.48

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Solution

The fourth proportional to 976.60, 1,462.96 and 565.48 is: 847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.60 : 1,462.96 = 565.48 : x
  2. Step 2: Convert to fraction form
    976.60/1,462.96 = 565.48/x
  3. Step 3: Cross multiply
    976.60x = 1,462.96 × 565.48
  4. Step 4: Simplify right side
    976.60x = 827,274.62
  5. Step 5: Solve for x
    x = 827,274.62/976.60
  6. Step 6: Final answer
    x = 847.10

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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.