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Finding the Fourth Proportional to 1,401.99, 2,103.30 and 428.01

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Solution

The fourth proportional to 1,401.99, 2,103.30 and 428.01 is: 642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.99 : 2,103.30 = 428.01 : x
  2. Step 2: Convert to fraction form
    1,401.99/2,103.30 = 428.01/x
  3. Step 3: Cross multiply
    1,401.99x = 2,103.30 × 428.01
  4. Step 4: Simplify right side
    1,401.99x = 900,233.43
  5. Step 5: Solve for x
    x = 900,233.43/1,401.99
  6. Step 6: Final answer
    x = 642.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.