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Finding the Fourth Proportional to 1,500.56, 2,250.89 and 842.33

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Solution

The fourth proportional to 1,500.56, 2,250.89 and 842.33 is: 1,263.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.56 : 2,250.89 = 842.33 : x
  2. Step 2: Convert to fraction form
    1,500.56/2,250.89 = 842.33/x
  3. Step 3: Cross multiply
    1,500.56x = 2,250.89 × 842.33
  4. Step 4: Simplify right side
    1,500.56x = 1,895,996.75
  5. Step 5: Solve for x
    x = 1,895,996.75/1,500.56
  6. Step 6: Final answer
    x = 1,263.53

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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.