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Finding the Fourth Proportional to 1,364.06, 1,882.17 and 804.49

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Solution

The fourth proportional to 1,364.06, 1,882.17 and 804.49 is: 1,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.06 : 1,882.17 = 804.49 : x
  2. Step 2: Convert to fraction form
    1,364.06/1,882.17 = 804.49/x
  3. Step 3: Cross multiply
    1,364.06x = 1,882.17 × 804.49
  4. Step 4: Simplify right side
    1,364.06x = 1,514,182.24
  5. Step 5: Solve for x
    x = 1,514,182.24/1,364.06
  6. Step 6: Final answer
    x = 1,110.05

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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.