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Finding the Fourth Proportional to 1,160.28, 1,739.61 and 582.84

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Solution

The fourth proportional to 1,160.28, 1,739.61 and 582.84 is: 873.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.28 : 1,739.61 = 582.84 : x
  2. Step 2: Convert to fraction form
    1,160.28/1,739.61 = 582.84/x
  3. Step 3: Cross multiply
    1,160.28x = 1,739.61 × 582.84
  4. Step 4: Simplify right side
    1,160.28x = 1,013,914.29
  5. Step 5: Solve for x
    x = 1,013,914.29/1,160.28
  6. Step 6: Final answer
    x = 873.85

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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.