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Finding the Fourth Proportional to 785.88, 1,177.05 and 451.90

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Solution

The fourth proportional to 785.88, 1,177.05 and 451.90 is: 676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.88 : 1,177.05 = 451.90 : x
  2. Step 2: Convert to fraction form
    785.88/1,177.05 = 451.90/x
  3. Step 3: Cross multiply
    785.88x = 1,177.05 × 451.90
  4. Step 4: Simplify right side
    785.88x = 531,908.90
  5. Step 5: Solve for x
    x = 531,908.90/785.88
  6. Step 6: Final answer
    x = 676.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.