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Finding the Fourth Proportional to 794.58, 1,191.46 and 465.64

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Solution

The fourth proportional to 794.58, 1,191.46 and 465.64 is: 698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.58 : 1,191.46 = 465.64 : x
  2. Step 2: Convert to fraction form
    794.58/1,191.46 = 465.64/x
  3. Step 3: Cross multiply
    794.58x = 1,191.46 × 465.64
  4. Step 4: Simplify right side
    794.58x = 554,791.43
  5. Step 5: Solve for x
    x = 554,791.43/794.58
  6. Step 6: Final answer
    x = 698.22

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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.