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Finding the Fourth Proportional to 976.54, 1,464.82 and 565.43

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Solution

The fourth proportional to 976.54, 1,464.82 and 565.43 is: 848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.54 : 1,464.82 = 565.43 : x
  2. Step 2: Convert to fraction form
    976.54/1,464.82 = 565.43/x
  3. Step 3: Cross multiply
    976.54x = 1,464.82 × 565.43
  4. Step 4: Simplify right side
    976.54x = 828,245.85
  5. Step 5: Solve for x
    x = 828,245.85/976.54
  6. Step 6: Final answer
    x = 848.14

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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.