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Finding the Fourth Proportional to 1,404.45, 1,936.12 and 983.50

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Solution

The fourth proportional to 1,404.45, 1,936.12 and 983.50 is: 1,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.45 : 1,936.12 = 983.50 : x
  2. Step 2: Convert to fraction form
    1,404.45/1,936.12 = 983.50/x
  3. Step 3: Cross multiply
    1,404.45x = 1,936.12 × 983.50
  4. Step 4: Simplify right side
    1,404.45x = 1,904,174.02
  5. Step 5: Solve for x
    x = 1,904,174.02/1,404.45
  6. Step 6: Final answer
    x = 1,355.81

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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.