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Finding the Fourth Proportional to 794.09, 1,191.14 and 471.71

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Solution

The fourth proportional to 794.09, 1,191.14 and 471.71 is: 707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.09 : 1,191.14 = 471.71 : x
  2. Step 2: Convert to fraction form
    794.09/1,191.14 = 471.71/x
  3. Step 3: Cross multiply
    794.09x = 1,191.14 × 471.71
  4. Step 4: Simplify right side
    794.09x = 561,872.65
  5. Step 5: Solve for x
    x = 561,872.65/794.09
  6. Step 6: Final answer
    x = 707.57

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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.