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Finding the Fourth Proportional to 850.60, 1,273.84 and 589.92

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Solution

The fourth proportional to 850.60, 1,273.84 and 589.92 is: 883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.60 : 1,273.84 = 589.92 : x
  2. Step 2: Convert to fraction form
    850.60/1,273.84 = 589.92/x
  3. Step 3: Cross multiply
    850.60x = 1,273.84 × 589.92
  4. Step 4: Simplify right side
    850.60x = 751,463.69
  5. Step 5: Solve for x
    x = 751,463.69/850.60
  6. Step 6: Final answer
    x = 883.45

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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.