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Finding the Fourth Proportional to 1,162.01, 1,742.97 and 431.26

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Solution

The fourth proportional to 1,162.01, 1,742.97 and 431.26 is: 646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.01 : 1,742.97 = 431.26 : x
  2. Step 2: Convert to fraction form
    1,162.01/1,742.97 = 431.26/x
  3. Step 3: Cross multiply
    1,162.01x = 1,742.97 × 431.26
  4. Step 4: Simplify right side
    1,162.01x = 751,673.24
  5. Step 5: Solve for x
    x = 751,673.24/1,162.01
  6. Step 6: Final answer
    x = 646.87

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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.