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Finding the Fourth Proportional to 1,401.69, 1,934.34 and 804.20

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Solution

The fourth proportional to 1,401.69, 1,934.34 and 804.20 is: 1,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.69 : 1,934.34 = 804.20 : x
  2. Step 2: Convert to fraction form
    1,401.69/1,934.34 = 804.20/x
  3. Step 3: Cross multiply
    1,401.69x = 1,934.34 × 804.20
  4. Step 4: Simplify right side
    1,401.69x = 1,555,601.67
  5. Step 5: Solve for x
    x = 1,555,601.67/1,401.69
  6. Step 6: Final answer
    x = 1,109.81

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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.