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Finding the Fourth Proportional to 974.35, 1,461.52 and 563.22

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Solution

The fourth proportional to 974.35, 1,461.52 and 563.22 is: 844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.35 : 1,461.52 = 563.22 : x
  2. Step 2: Convert to fraction form
    974.35/1,461.52 = 563.22/x
  3. Step 3: Cross multiply
    974.35x = 1,461.52 × 563.22
  4. Step 4: Simplify right side
    974.35x = 823,157.29
  5. Step 5: Solve for x
    x = 823,157.29/974.35
  6. Step 6: Final answer
    x = 844.83

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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.