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Finding the Fourth Proportional to 877.14, 1,313.67 and 443.25

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Solution

The fourth proportional to 877.14, 1,313.67 and 443.25 is: 663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.14 : 1,313.67 = 443.25 : x
  2. Step 2: Convert to fraction form
    877.14/1,313.67 = 443.25/x
  3. Step 3: Cross multiply
    877.14x = 1,313.67 × 443.25
  4. Step 4: Simplify right side
    877.14x = 582,284.23
  5. Step 5: Solve for x
    x = 582,284.23/877.14
  6. Step 6: Final answer
    x = 663.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.