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Finding the Fourth Proportional to 1,160.86, 1,740.07 and 380.66

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Solution

The fourth proportional to 1,160.86, 1,740.07 and 380.66 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.86 : 1,740.07 = 380.66 : x
  2. Step 2: Convert to fraction form
    1,160.86/1,740.07 = 380.66/x
  3. Step 3: Cross multiply
    1,160.86x = 1,740.07 × 380.66
  4. Step 4: Simplify right side
    1,160.86x = 662,375.05
  5. Step 5: Solve for x
    x = 662,375.05/1,160.86
  6. Step 6: Final answer
    x = 570.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.