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Finding the Fourth Proportional to 1,764.58, 2,645.66 and 724.28

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Solution

The fourth proportional to 1,764.58, 2,645.66 and 724.28 is: 1,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.58 : 2,645.66 = 724.28 : x
  2. Step 2: Convert to fraction form
    1,764.58/2,645.66 = 724.28/x
  3. Step 3: Cross multiply
    1,764.58x = 2,645.66 × 724.28
  4. Step 4: Simplify right side
    1,764.58x = 1,916,198.62
  5. Step 5: Solve for x
    x = 1,916,198.62/1,764.58
  6. Step 6: Final answer
    x = 1,085.92

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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.