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Finding the Fourth Proportional to 1,401.56, 1,934.13 and 772.12

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Solution

The fourth proportional to 1,401.56, 1,934.13 and 772.12 is: 1,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.56 : 1,934.13 = 772.12 : x
  2. Step 2: Convert to fraction form
    1,401.56/1,934.13 = 772.12/x
  3. Step 3: Cross multiply
    1,401.56x = 1,934.13 × 772.12
  4. Step 4: Simplify right side
    1,401.56x = 1,493,380.46
  5. Step 5: Solve for x
    x = 1,493,380.46/1,401.56
  6. Step 6: Final answer
    x = 1,065.51

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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.