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Finding the Fourth Proportional to 1,401.99, 1,934.73 and 812.31

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Solution

The fourth proportional to 1,401.99, 1,934.73 and 812.31 is: 1,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.99 : 1,934.73 = 812.31 : x
  2. Step 2: Convert to fraction form
    1,401.99/1,934.73 = 812.31/x
  3. Step 3: Cross multiply
    1,401.99x = 1,934.73 × 812.31
  4. Step 4: Simplify right side
    1,401.99x = 1,571,600.53
  5. Step 5: Solve for x
    x = 1,571,600.53/1,401.99
  6. Step 6: Final answer
    x = 1,120.98

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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.