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Finding the Fourth Proportional to 1,500.56, 2,250.81 and 405.03

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Solution

The fourth proportional to 1,500.56, 2,250.81 and 405.03 is: 607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.56 : 2,250.81 = 405.03 : x
  2. Step 2: Convert to fraction form
    1,500.56/2,250.81 = 405.03/x
  3. Step 3: Cross multiply
    1,500.56x = 2,250.81 × 405.03
  4. Step 4: Simplify right side
    1,500.56x = 911,645.57
  5. Step 5: Solve for x
    x = 911,645.57/1,500.56
  6. Step 6: Final answer
    x = 607.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.