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Finding the Fourth Proportional to 796.74, 1,194.03 and 472.02

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Solution

The fourth proportional to 796.74, 1,194.03 and 472.02 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.74 : 1,194.03 = 472.02 : x
  2. Step 2: Convert to fraction form
    796.74/1,194.03 = 472.02/x
  3. Step 3: Cross multiply
    796.74x = 1,194.03 × 472.02
  4. Step 4: Simplify right side
    796.74x = 563,606.04
  5. Step 5: Solve for x
    x = 563,606.04/796.74
  6. Step 6: Final answer
    x = 707.39

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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.