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Finding the Fourth Proportional to 899.62, 1,349.64 and 274.86

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Solution

The fourth proportional to 899.62, 1,349.64 and 274.86 is: 412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.62 : 1,349.64 = 274.86 : x
  2. Step 2: Convert to fraction form
    899.62/1,349.64 = 274.86/x
  3. Step 3: Cross multiply
    899.62x = 1,349.64 × 274.86
  4. Step 4: Simplify right side
    899.62x = 370,962.05
  5. Step 5: Solve for x
    x = 370,962.05/899.62
  6. Step 6: Final answer
    x = 412.36

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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.