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Finding the Fourth Proportional to 1,293.28, 1,785.99 and 1,105.68

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Solution

The fourth proportional to 1,293.28, 1,785.99 and 1,105.68 is: 1,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.28 : 1,785.99 = 1,105.68 : x
  2. Step 2: Convert to fraction form
    1,293.28/1,785.99 = 1,105.68/x
  3. Step 3: Cross multiply
    1,293.28x = 1,785.99 × 1,105.68
  4. Step 4: Simplify right side
    1,293.28x = 1,974,733.42
  5. Step 5: Solve for x
    x = 1,974,733.42/1,293.28
  6. Step 6: Final answer
    x = 1,526.92

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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.