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Finding the Fourth Proportional to 1,489.03, 2,233.59 and 564.41

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Solution

The fourth proportional to 1,489.03, 2,233.59 and 564.41 is: 846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.03 : 2,233.59 = 564.41 : x
  2. Step 2: Convert to fraction form
    1,489.03/2,233.59 = 564.41/x
  3. Step 3: Cross multiply
    1,489.03x = 2,233.59 × 564.41
  4. Step 4: Simplify right side
    1,489.03x = 1,260,664.00
  5. Step 5: Solve for x
    x = 1,260,664.00/1,489.03
  6. Step 6: Final answer
    x = 846.64

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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.