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Finding the Fourth Proportional to 792.64, 1,189.56 and 587.68

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Solution

The fourth proportional to 792.64, 1,189.56 and 587.68 is: 881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.64 : 1,189.56 = 587.68 : x
  2. Step 2: Convert to fraction form
    792.64/1,189.56 = 587.68/x
  3. Step 3: Cross multiply
    792.64x = 1,189.56 × 587.68
  4. Step 4: Simplify right side
    792.64x = 699,080.62
  5. Step 5: Solve for x
    x = 699,080.62/792.64
  6. Step 6: Final answer
    x = 881.96

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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.