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Finding the Fourth Proportional to 794.92, 1,191.15 and 505.75

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Solution

The fourth proportional to 794.92, 1,191.15 and 505.75 is: 757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,191.15 = 505.75 : x
  2. Step 2: Convert to fraction form
    794.92/1,191.15 = 505.75/x
  3. Step 3: Cross multiply
    794.92x = 1,191.15 × 505.75
  4. Step 4: Simplify right side
    794.92x = 602,424.11
  5. Step 5: Solve for x
    x = 602,424.11/794.92
  6. Step 6: Final answer
    x = 757.84

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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.