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Finding the Fourth Proportional to 699.49, 1,049.36 and 260.69

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Solution

The fourth proportional to 699.49, 1,049.36 and 260.69 is: 391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.49 : 1,049.36 = 260.69 : x
  2. Step 2: Convert to fraction form
    699.49/1,049.36 = 260.69/x
  3. Step 3: Cross multiply
    699.49x = 1,049.36 × 260.69
  4. Step 4: Simplify right side
    699.49x = 273,559.96
  5. Step 5: Solve for x
    x = 273,559.96/699.49
  6. Step 6: Final answer
    x = 391.09

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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.