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Finding the Fourth Proportional to 788.04, 1,087.74 and 539.25

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Solution

The fourth proportional to 788.04, 1,087.74 and 539.25 is: 744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.04 : 1,087.74 = 539.25 : x
  2. Step 2: Convert to fraction form
    788.04/1,087.74 = 539.25/x
  3. Step 3: Cross multiply
    788.04x = 1,087.74 × 539.25
  4. Step 4: Simplify right side
    788.04x = 586,563.80
  5. Step 5: Solve for x
    x = 586,563.80/788.04
  6. Step 6: Final answer
    x = 744.33

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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.