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Finding the Fourth Proportional to 974.52, 1,462.79 and 564.46

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Solution

The fourth proportional to 974.52, 1,462.79 and 564.46 is: 847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.52 : 1,462.79 = 564.46 : x
  2. Step 2: Convert to fraction form
    974.52/1,462.79 = 564.46/x
  3. Step 3: Cross multiply
    974.52x = 1,462.79 × 564.46
  4. Step 4: Simplify right side
    974.52x = 825,684.20
  5. Step 5: Solve for x
    x = 825,684.20/974.52
  6. Step 6: Final answer
    x = 847.27

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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.