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Finding the Fourth Proportional to 785.97, 1,178.33 and 542.97

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Solution

The fourth proportional to 785.97, 1,178.33 and 542.97 is: 814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.97 : 1,178.33 = 542.97 : x
  2. Step 2: Convert to fraction form
    785.97/1,178.33 = 542.97/x
  3. Step 3: Cross multiply
    785.97x = 1,178.33 × 542.97
  4. Step 4: Simplify right side
    785.97x = 639,795.13
  5. Step 5: Solve for x
    x = 639,795.13/785.97
  6. Step 6: Final answer
    x = 814.02

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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.