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Finding the Fourth Proportional to 1,364.22, 1,882.53 and 804.90

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Solution

The fourth proportional to 1,364.22, 1,882.53 and 804.90 is: 1,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.22 : 1,882.53 = 804.90 : x
  2. Step 2: Convert to fraction form
    1,364.22/1,882.53 = 804.90/x
  3. Step 3: Cross multiply
    1,364.22x = 1,882.53 × 804.90
  4. Step 4: Simplify right side
    1,364.22x = 1,515,248.40
  5. Step 5: Solve for x
    x = 1,515,248.40/1,364.22
  6. Step 6: Final answer
    x = 1,110.71

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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.