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Finding the Fourth Proportional to 1,489.29, 2,232.64 and 564.61

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Solution

The fourth proportional to 1,489.29, 2,232.64 and 564.61 is: 846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.29 : 2,232.64 = 564.61 : x
  2. Step 2: Convert to fraction form
    1,489.29/2,232.64 = 564.61/x
  3. Step 3: Cross multiply
    1,489.29x = 2,232.64 × 564.61
  4. Step 4: Simplify right side
    1,489.29x = 1,260,556.88
  5. Step 5: Solve for x
    x = 1,260,556.88/1,489.29
  6. Step 6: Final answer
    x = 846.41

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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.