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Finding the Fourth Proportional to 788.32, 1,189.42 and 781.84

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Solution

The fourth proportional to 788.32, 1,189.42 and 781.84 is: 1,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.32 : 1,189.42 = 781.84 : x
  2. Step 2: Convert to fraction form
    788.32/1,189.42 = 781.84/x
  3. Step 3: Cross multiply
    788.32x = 1,189.42 × 781.84
  4. Step 4: Simplify right side
    788.32x = 929,936.13
  5. Step 5: Solve for x
    x = 929,936.13/788.32
  6. Step 6: Final answer
    x = 1,179.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.