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Finding the Fourth Proportional to 1,364.20, 1,883.01 and 804.63

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Solution

The fourth proportional to 1,364.20, 1,883.01 and 804.63 is: 1,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.20 : 1,883.01 = 804.63 : x
  2. Step 2: Convert to fraction form
    1,364.20/1,883.01 = 804.63/x
  3. Step 3: Cross multiply
    1,364.20x = 1,883.01 × 804.63
  4. Step 4: Simplify right side
    1,364.20x = 1,515,126.34
  5. Step 5: Solve for x
    x = 1,515,126.34/1,364.20
  6. Step 6: Final answer
    x = 1,110.63

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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.