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Finding the Fourth Proportional to 976.91, 1,461.71 and 566.24

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Solution

The fourth proportional to 976.91, 1,461.71 and 566.24 is: 847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.91 : 1,461.71 = 566.24 : x
  2. Step 2: Convert to fraction form
    976.91/1,461.71 = 566.24/x
  3. Step 3: Cross multiply
    976.91x = 1,461.71 × 566.24
  4. Step 4: Simplify right side
    976.91x = 827,672.78
  5. Step 5: Solve for x
    x = 827,672.78/976.91
  6. Step 6: Final answer
    x = 847.24

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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.