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Finding the Fourth Proportional to 1,201.67, 1,657.72 and 704.00

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Solution

The fourth proportional to 1,201.67, 1,657.72 and 704.00 is: 971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.67 : 1,657.72 = 704.00 : x
  2. Step 2: Convert to fraction form
    1,201.67/1,657.72 = 704.00/x
  3. Step 3: Cross multiply
    1,201.67x = 1,657.72 × 704.00
  4. Step 4: Simplify right side
    1,201.67x = 1,167,026.59
  5. Step 5: Solve for x
    x = 1,167,026.59/1,201.67
  6. Step 6: Final answer
    x = 971.17

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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.