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Finding the Fourth Proportional to 1,401.42, 1,933.11 and 903.27

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Solution

The fourth proportional to 1,401.42, 1,933.11 and 903.27 is: 1,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.42 : 1,933.11 = 903.27 : x
  2. Step 2: Convert to fraction form
    1,401.42/1,933.11 = 903.27/x
  3. Step 3: Cross multiply
    1,401.42x = 1,933.11 × 903.27
  4. Step 4: Simplify right side
    1,401.42x = 1,746,120.27
  5. Step 5: Solve for x
    x = 1,746,120.27/1,401.42
  6. Step 6: Final answer
    x = 1,245.96

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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.