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Finding the Fourth Proportional to 1,110.67, 1,664.07 and 721.06

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Solution

The fourth proportional to 1,110.67, 1,664.07 and 721.06 is: 1,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.67 : 1,664.07 = 721.06 : x
  2. Step 2: Convert to fraction form
    1,110.67/1,664.07 = 721.06/x
  3. Step 3: Cross multiply
    1,110.67x = 1,664.07 × 721.06
  4. Step 4: Simplify right side
    1,110.67x = 1,199,894.31
  5. Step 5: Solve for x
    x = 1,199,894.31/1,110.67
  6. Step 6: Final answer
    x = 1,080.33

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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.