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Finding the Fourth Proportional to 1,164.58, 1,745.96 and 748.14

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Solution

The fourth proportional to 1,164.58, 1,745.96 and 748.14 is: 1,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.58 : 1,745.96 = 748.14 : x
  2. Step 2: Convert to fraction form
    1,164.58/1,745.96 = 748.14/x
  3. Step 3: Cross multiply
    1,164.58x = 1,745.96 × 748.14
  4. Step 4: Simplify right side
    1,164.58x = 1,306,212.23
  5. Step 5: Solve for x
    x = 1,306,212.23/1,164.58
  6. Step 6: Final answer
    x = 1,121.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.