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Finding the Fourth Proportional to 974.84, 1,463.34 and 564.44

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Solution

The fourth proportional to 974.84, 1,463.34 and 564.44 is: 847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.84 : 1,463.34 = 564.44 : x
  2. Step 2: Convert to fraction form
    974.84/1,463.34 = 564.44/x
  3. Step 3: Cross multiply
    974.84x = 1,463.34 × 564.44
  4. Step 4: Simplify right side
    974.84x = 825,967.63
  5. Step 5: Solve for x
    x = 825,967.63/974.84
  6. Step 6: Final answer
    x = 847.29

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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.