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Finding the Fourth Proportional to 858.97, 1,185.99 and 527.84

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Solution

The fourth proportional to 858.97, 1,185.99 and 527.84 is: 728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.97 : 1,185.99 = 527.84 : x
  2. Step 2: Convert to fraction form
    858.97/1,185.99 = 527.84/x
  3. Step 3: Cross multiply
    858.97x = 1,185.99 × 527.84
  4. Step 4: Simplify right side
    858.97x = 626,007.03
  5. Step 5: Solve for x
    x = 626,007.03/858.97
  6. Step 6: Final answer
    x = 728.79

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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.