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Finding the Fourth Proportional to 1,160.59, 1,740.64 and 380.61

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Solution

The fourth proportional to 1,160.59, 1,740.64 and 380.61 is: 570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.59 : 1,740.64 = 380.61 : x
  2. Step 2: Convert to fraction form
    1,160.59/1,740.64 = 380.61/x
  3. Step 3: Cross multiply
    1,160.59x = 1,740.64 × 380.61
  4. Step 4: Simplify right side
    1,160.59x = 662,504.99
  5. Step 5: Solve for x
    x = 662,504.99/1,160.59
  6. Step 6: Final answer
    x = 570.83

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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.