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Finding the Fourth Proportional to 1,316.28, 1,813.96 and 942.61

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Solution

The fourth proportional to 1,316.28, 1,813.96 and 942.61 is: 1,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.28 : 1,813.96 = 942.61 : x
  2. Step 2: Convert to fraction form
    1,316.28/1,813.96 = 942.61/x
  3. Step 3: Cross multiply
    1,316.28x = 1,813.96 × 942.61
  4. Step 4: Simplify right side
    1,316.28x = 1,709,856.84
  5. Step 5: Solve for x
    x = 1,709,856.84/1,316.28
  6. Step 6: Final answer
    x = 1,299.01

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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.