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Finding the Fourth Proportional to 796.97, 1,195.46 and 471.35

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Solution

The fourth proportional to 796.97, 1,195.46 and 471.35 is: 707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.97 : 1,195.46 = 471.35 : x
  2. Step 2: Convert to fraction form
    796.97/1,195.46 = 471.35/x
  3. Step 3: Cross multiply
    796.97x = 1,195.46 × 471.35
  4. Step 4: Simplify right side
    796.97x = 563,480.07
  5. Step 5: Solve for x
    x = 563,480.07/796.97
  6. Step 6: Final answer
    x = 707.03

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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.