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Finding the Fourth Proportional to 974.53, 1,460.41 and 563.77

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Solution

The fourth proportional to 974.53, 1,460.41 and 563.77 is: 844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.53 : 1,460.41 = 563.77 : x
  2. Step 2: Convert to fraction form
    974.53/1,460.41 = 563.77/x
  3. Step 3: Cross multiply
    974.53x = 1,460.41 × 563.77
  4. Step 4: Simplify right side
    974.53x = 823,335.35
  5. Step 5: Solve for x
    x = 823,335.35/974.53
  6. Step 6: Final answer
    x = 844.85

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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.