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Finding the Fourth Proportional to 788.89, 1,087.33 and 539.78

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Solution

The fourth proportional to 788.89, 1,087.33 and 539.78 is: 743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.89 : 1,087.33 = 539.78 : x
  2. Step 2: Convert to fraction form
    788.89/1,087.33 = 539.78/x
  3. Step 3: Cross multiply
    788.89x = 1,087.33 × 539.78
  4. Step 4: Simplify right side
    788.89x = 586,918.99
  5. Step 5: Solve for x
    x = 586,918.99/788.89
  6. Step 6: Final answer
    x = 743.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.