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Finding the Fourth Proportional to 1,161.26, 1,748.23 and 1,059.20

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Solution

The fourth proportional to 1,161.26, 1,748.23 and 1,059.20 is: 1,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.26 : 1,748.23 = 1,059.20 : x
  2. Step 2: Convert to fraction form
    1,161.26/1,748.23 = 1,059.20/x
  3. Step 3: Cross multiply
    1,161.26x = 1,748.23 × 1,059.20
  4. Step 4: Simplify right side
    1,161.26x = 1,851,730.91
  5. Step 5: Solve for x
    x = 1,851,730.91/1,161.26
  6. Step 6: Final answer
    x = 1,594.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.