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Finding the Fourth Proportional to 1,049.05, 1,573.56 and 269.05

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Solution

The fourth proportional to 1,049.05, 1,573.56 and 269.05 is: 403.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.05 : 1,573.56 = 269.05 : x
  2. Step 2: Convert to fraction form
    1,049.05/1,573.56 = 269.05/x
  3. Step 3: Cross multiply
    1,049.05x = 1,573.56 × 269.05
  4. Step 4: Simplify right side
    1,049.05x = 423,358.45
  5. Step 5: Solve for x
    x = 423,358.45/1,049.05
  6. Step 6: Final answer
    x = 403.57

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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.