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Finding the Fourth Proportional to 751.97, 1,127.82 and 204.02

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Solution

The fourth proportional to 751.97, 1,127.82 and 204.02 is: 306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.97 : 1,127.82 = 204.02 : x
  2. Step 2: Convert to fraction form
    751.97/1,127.82 = 204.02/x
  3. Step 3: Cross multiply
    751.97x = 1,127.82 × 204.02
  4. Step 4: Simplify right side
    751.97x = 230,100.66
  5. Step 5: Solve for x
    x = 230,100.66/751.97
  6. Step 6: Final answer
    x = 306.00

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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.