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Finding the Fourth Proportional to 1,401.80, 1,934.24 and 812.23

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Solution

The fourth proportional to 1,401.80, 1,934.24 and 812.23 is: 1,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.80 : 1,934.24 = 812.23 : x
  2. Step 2: Convert to fraction form
    1,401.80/1,934.24 = 812.23/x
  3. Step 3: Cross multiply
    1,401.80x = 1,934.24 × 812.23
  4. Step 4: Simplify right side
    1,401.80x = 1,571,047.76
  5. Step 5: Solve for x
    x = 1,571,047.76/1,401.80
  6. Step 6: Final answer
    x = 1,120.74

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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.