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Finding the Fourth Proportional to 899.44, 1,350.06 and 412.84

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Solution

The fourth proportional to 899.44, 1,350.06 and 412.84 is: 619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.44 : 1,350.06 = 412.84 : x
  2. Step 2: Convert to fraction form
    899.44/1,350.06 = 412.84/x
  3. Step 3: Cross multiply
    899.44x = 1,350.06 × 412.84
  4. Step 4: Simplify right side
    899.44x = 557,358.77
  5. Step 5: Solve for x
    x = 557,358.77/899.44
  6. Step 6: Final answer
    x = 619.67

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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.