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Finding the Fourth Proportional to 785.39, 1,178.12 and 265.38

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Solution

The fourth proportional to 785.39, 1,178.12 and 265.38 is: 398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.39 : 1,178.12 = 265.38 : x
  2. Step 2: Convert to fraction form
    785.39/1,178.12 = 265.38/x
  3. Step 3: Cross multiply
    785.39x = 1,178.12 × 265.38
  4. Step 4: Simplify right side
    785.39x = 312,644.98
  5. Step 5: Solve for x
    x = 312,644.98/785.39
  6. Step 6: Final answer
    x = 398.08

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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.