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Finding the Fourth Proportional to 1,316.46, 1,816.83 and 819.12

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Solution

The fourth proportional to 1,316.46, 1,816.83 and 819.12 is: 1,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.46 : 1,816.83 = 819.12 : x
  2. Step 2: Convert to fraction form
    1,316.46/1,816.83 = 819.12/x
  3. Step 3: Cross multiply
    1,316.46x = 1,816.83 × 819.12
  4. Step 4: Simplify right side
    1,316.46x = 1,488,201.79
  5. Step 5: Solve for x
    x = 1,488,201.79/1,316.46
  6. Step 6: Final answer
    x = 1,130.46

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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.