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Finding the Fourth Proportional to 1,113.05, 1,669.88 and 333.09

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Solution

The fourth proportional to 1,113.05, 1,669.88 and 333.09 is: 499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.05 : 1,669.88 = 333.09 : x
  2. Step 2: Convert to fraction form
    1,113.05/1,669.88 = 333.09/x
  3. Step 3: Cross multiply
    1,113.05x = 1,669.88 × 333.09
  4. Step 4: Simplify right side
    1,113.05x = 556,221.16
  5. Step 5: Solve for x
    x = 556,221.16/1,113.05
  6. Step 6: Final answer
    x = 499.73

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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.