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Finding the Fourth Proportional to 1,196.01, 1,650.06 and 753.75

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Solution

The fourth proportional to 1,196.01, 1,650.06 and 753.75 is: 1,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.01 : 1,650.06 = 753.75 : x
  2. Step 2: Convert to fraction form
    1,196.01/1,650.06 = 753.75/x
  3. Step 3: Cross multiply
    1,196.01x = 1,650.06 × 753.75
  4. Step 4: Simplify right side
    1,196.01x = 1,243,732.73
  5. Step 5: Solve for x
    x = 1,243,732.73/1,196.01
  6. Step 6: Final answer
    x = 1,039.90

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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.