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Finding the Fourth Proportional to 785.93, 1,178.82 and 353.07

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Solution

The fourth proportional to 785.93, 1,178.82 and 353.07 is: 529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.93 : 1,178.82 = 353.07 : x
  2. Step 2: Convert to fraction form
    785.93/1,178.82 = 353.07/x
  3. Step 3: Cross multiply
    785.93x = 1,178.82 × 353.07
  4. Step 4: Simplify right side
    785.93x = 416,205.98
  5. Step 5: Solve for x
    x = 416,205.98/785.93
  6. Step 6: Final answer
    x = 529.57

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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.