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Finding the Fourth Proportional to 976.48, 1,463.78 and 565.24

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Solution

The fourth proportional to 976.48, 1,463.78 and 565.24 is: 847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.48 : 1,463.78 = 565.24 : x
  2. Step 2: Convert to fraction form
    976.48/1,463.78 = 565.24/x
  3. Step 3: Cross multiply
    976.48x = 1,463.78 × 565.24
  4. Step 4: Simplify right side
    976.48x = 827,387.01
  5. Step 5: Solve for x
    x = 827,387.01/976.48
  6. Step 6: Final answer
    x = 847.32

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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.