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Finding the Fourth Proportional to 1,350.76, 1,864.22 and 819.86

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Solution

The fourth proportional to 1,350.76, 1,864.22 and 819.86 is: 1,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.76 : 1,864.22 = 819.86 : x
  2. Step 2: Convert to fraction form
    1,350.76/1,864.22 = 819.86/x
  3. Step 3: Cross multiply
    1,350.76x = 1,864.22 × 819.86
  4. Step 4: Simplify right side
    1,350.76x = 1,528,399.41
  5. Step 5: Solve for x
    x = 1,528,399.41/1,350.76
  6. Step 6: Final answer
    x = 1,131.51

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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.