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Finding the Fourth Proportional to 785.89, 1,178.84 and 669.25

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Solution

The fourth proportional to 785.89, 1,178.84 and 669.25 is: 1,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.89 : 1,178.84 = 669.25 : x
  2. Step 2: Convert to fraction form
    785.89/1,178.84 = 669.25/x
  3. Step 3: Cross multiply
    785.89x = 1,178.84 × 669.25
  4. Step 4: Simplify right side
    785.89x = 788,938.67
  5. Step 5: Solve for x
    x = 788,938.67/785.89
  6. Step 6: Final answer
    x = 1,003.88

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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.