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Finding the Fourth Proportional to 794.08, 1,189.68 and 631.84

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Solution

The fourth proportional to 794.08, 1,189.68 and 631.84 is: 946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.08 : 1,189.68 = 631.84 : x
  2. Step 2: Convert to fraction form
    794.08/1,189.68 = 631.84/x
  3. Step 3: Cross multiply
    794.08x = 1,189.68 × 631.84
  4. Step 4: Simplify right side
    794.08x = 751,687.41
  5. Step 5: Solve for x
    x = 751,687.41/794.08
  6. Step 6: Final answer
    x = 946.61

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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.