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Finding the Fourth Proportional to 1,401.95, 2,102.93 and 477.61

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Solution

The fourth proportional to 1,401.95, 2,102.93 and 477.61 is: 716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.95 : 2,102.93 = 477.61 : x
  2. Step 2: Convert to fraction form
    1,401.95/2,102.93 = 477.61/x
  3. Step 3: Cross multiply
    1,401.95x = 2,102.93 × 477.61
  4. Step 4: Simplify right side
    1,401.95x = 1,004,380.40
  5. Step 5: Solve for x
    x = 1,004,380.40/1,401.95
  6. Step 6: Final answer
    x = 716.42

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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.