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Finding the Fourth Proportional to 1,425.25, 1,966.86 and 804.25

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Solution

The fourth proportional to 1,425.25, 1,966.86 and 804.25 is: 1,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.25 : 1,966.86 = 804.25 : x
  2. Step 2: Convert to fraction form
    1,425.25/1,966.86 = 804.25/x
  3. Step 3: Cross multiply
    1,425.25x = 1,966.86 × 804.25
  4. Step 4: Simplify right side
    1,425.25x = 1,581,847.16
  5. Step 5: Solve for x
    x = 1,581,847.16/1,425.25
  6. Step 6: Final answer
    x = 1,109.87

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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.