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Finding the Fourth Proportional to 794.91, 1,191.00 and 383.79

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Solution

The fourth proportional to 794.91, 1,191.00 and 383.79 is: 575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.91 : 1,191.00 = 383.79 : x
  2. Step 2: Convert to fraction form
    794.91/1,191.00 = 383.79/x
  3. Step 3: Cross multiply
    794.91x = 1,191.00 × 383.79
  4. Step 4: Simplify right side
    794.91x = 457,093.10
  5. Step 5: Solve for x
    x = 457,093.10/794.91
  6. Step 6: Final answer
    x = 575.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.