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Finding the Fourth Proportional to 1,206.76, 1,664.82 and 813.10

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Solution

The fourth proportional to 1,206.76, 1,664.82 and 813.10 is: 1,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.76 : 1,664.82 = 813.10 : x
  2. Step 2: Convert to fraction form
    1,206.76/1,664.82 = 813.10/x
  3. Step 3: Cross multiply
    1,206.76x = 1,664.82 × 813.10
  4. Step 4: Simplify right side
    1,206.76x = 1,353,665.14
  5. Step 5: Solve for x
    x = 1,353,665.14/1,206.76
  6. Step 6: Final answer
    x = 1,121.74

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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.