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Finding the Fourth Proportional to 1,299.57, 1,794.93 and 1,034.90

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Solution

The fourth proportional to 1,299.57, 1,794.93 and 1,034.90 is: 1,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.57 : 1,794.93 = 1,034.90 : x
  2. Step 2: Convert to fraction form
    1,299.57/1,794.93 = 1,034.90/x
  3. Step 3: Cross multiply
    1,299.57x = 1,794.93 × 1,034.90
  4. Step 4: Simplify right side
    1,299.57x = 1,857,573.06
  5. Step 5: Solve for x
    x = 1,857,573.06/1,299.57
  6. Step 6: Final answer
    x = 1,429.38

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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.