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Finding the Fourth Proportional to 899.56, 1,349.58 and 813.88

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Solution

The fourth proportional to 899.56, 1,349.58 and 813.88 is: 1,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.56 : 1,349.58 = 813.88 : x
  2. Step 2: Convert to fraction form
    899.56/1,349.58 = 813.88/x
  3. Step 3: Cross multiply
    899.56x = 1,349.58 × 813.88
  4. Step 4: Simplify right side
    899.56x = 1,098,396.17
  5. Step 5: Solve for x
    x = 1,098,396.17/899.56
  6. Step 6: Final answer
    x = 1,221.04

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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.