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Finding the Fourth Proportional to 794.14, 1,191.41 and 383.47

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Solution

The fourth proportional to 794.14, 1,191.41 and 383.47 is: 575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.14 : 1,191.41 = 383.47 : x
  2. Step 2: Convert to fraction form
    794.14/1,191.41 = 383.47/x
  3. Step 3: Cross multiply
    794.14x = 1,191.41 × 383.47
  4. Step 4: Simplify right side
    794.14x = 456,869.99
  5. Step 5: Solve for x
    x = 456,869.99/794.14
  6. Step 6: Final answer
    x = 575.30

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1.5x scale

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.