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Finding the Fourth Proportional to 1,489.12, 2,234.57 and 564.80

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Solution

The fourth proportional to 1,489.12, 2,234.57 and 564.80 is: 847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.12 : 2,234.57 = 564.80 : x
  2. Step 2: Convert to fraction form
    1,489.12/2,234.57 = 564.80/x
  3. Step 3: Cross multiply
    1,489.12x = 2,234.57 × 564.80
  4. Step 4: Simplify right side
    1,489.12x = 1,262,071.14
  5. Step 5: Solve for x
    x = 1,262,071.14/1,489.12
  6. Step 6: Final answer
    x = 847.53

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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.