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Finding the Fourth Proportional to 1,406.30, 1,940.48 and 816.74

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Solution

The fourth proportional to 1,406.30, 1,940.48 and 816.74 is: 1,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.30 : 1,940.48 = 816.74 : x
  2. Step 2: Convert to fraction form
    1,406.30/1,940.48 = 816.74/x
  3. Step 3: Cross multiply
    1,406.30x = 1,940.48 × 816.74
  4. Step 4: Simplify right side
    1,406.30x = 1,584,856.91
  5. Step 5: Solve for x
    x = 1,584,856.91/1,406.30
  6. Step 6: Final answer
    x = 1,126.97

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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.