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Finding the Fourth Proportional to 1,206.46, 1,665.39 and 834.94

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Solution

The fourth proportional to 1,206.46, 1,665.39 and 834.94 is: 1,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.46 : 1,665.39 = 834.94 : x
  2. Step 2: Convert to fraction form
    1,206.46/1,665.39 = 834.94/x
  3. Step 3: Cross multiply
    1,206.46x = 1,665.39 × 834.94
  4. Step 4: Simplify right side
    1,206.46x = 1,390,500.73
  5. Step 5: Solve for x
    x = 1,390,500.73/1,206.46
  6. Step 6: Final answer
    x = 1,152.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.