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Finding the Fourth Proportional to 1,161.02, 1,742.16 and 512.24

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Solution

The fourth proportional to 1,161.02, 1,742.16 and 512.24 is: 768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.02 : 1,742.16 = 512.24 : x
  2. Step 2: Convert to fraction form
    1,161.02/1,742.16 = 512.24/x
  3. Step 3: Cross multiply
    1,161.02x = 1,742.16 × 512.24
  4. Step 4: Simplify right side
    1,161.02x = 892,404.04
  5. Step 5: Solve for x
    x = 892,404.04/1,161.02
  6. Step 6: Final answer
    x = 768.64

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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.