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Finding the Fourth Proportional to 1,196.66, 1,791.92 and 710.06

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Solution

The fourth proportional to 1,196.66, 1,791.92 and 710.06 is: 1,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.66 : 1,791.92 = 710.06 : x
  2. Step 2: Convert to fraction form
    1,196.66/1,791.92 = 710.06/x
  3. Step 3: Cross multiply
    1,196.66x = 1,791.92 × 710.06
  4. Step 4: Simplify right side
    1,196.66x = 1,272,370.72
  5. Step 5: Solve for x
    x = 1,272,370.72/1,196.66
  6. Step 6: Final answer
    x = 1,063.27

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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.