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Finding the Fourth Proportional to 974.71, 1,462.05 and 563.56

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Solution

The fourth proportional to 974.71, 1,462.05 and 563.56 is: 845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.71 : 1,462.05 = 563.56 : x
  2. Step 2: Convert to fraction form
    974.71/1,462.05 = 563.56/x
  3. Step 3: Cross multiply
    974.71x = 1,462.05 × 563.56
  4. Step 4: Simplify right side
    974.71x = 823,952.90
  5. Step 5: Solve for x
    x = 823,952.90/974.71
  6. Step 6: Final answer
    x = 845.33

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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.