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Finding the Fourth Proportional to 950.94, 1,313.57 and 794.10

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Solution

The fourth proportional to 950.94, 1,313.57 and 794.10 is: 1,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.94 : 1,313.57 = 794.10 : x
  2. Step 2: Convert to fraction form
    950.94/1,313.57 = 794.10/x
  3. Step 3: Cross multiply
    950.94x = 1,313.57 × 794.10
  4. Step 4: Simplify right side
    950.94x = 1,043,108.38
  5. Step 5: Solve for x
    x = 1,043,108.38/950.94
  6. Step 6: Final answer
    x = 1,096.92

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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.