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Finding the Fourth Proportional to 785.93, 1,179.17 and 374.86

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Solution

The fourth proportional to 785.93, 1,179.17 and 374.86 is: 562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.93 : 1,179.17 = 374.86 : x
  2. Step 2: Convert to fraction form
    785.93/1,179.17 = 374.86/x
  3. Step 3: Cross multiply
    785.93x = 1,179.17 × 374.86
  4. Step 4: Simplify right side
    785.93x = 442,015.90
  5. Step 5: Solve for x
    x = 442,015.90/785.93
  6. Step 6: Final answer
    x = 562.41

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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.