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Finding the Fourth Proportional to 1,299.63, 1,794.30 and 834.69

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Solution

The fourth proportional to 1,299.63, 1,794.30 and 834.69 is: 1,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.63 : 1,794.30 = 834.69 : x
  2. Step 2: Convert to fraction form
    1,299.63/1,794.30 = 834.69/x
  3. Step 3: Cross multiply
    1,299.63x = 1,794.30 × 834.69
  4. Step 4: Simplify right side
    1,299.63x = 1,497,684.27
  5. Step 5: Solve for x
    x = 1,497,684.27/1,299.63
  6. Step 6: Final answer
    x = 1,152.39

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1.5x scale

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.