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Finding the Fourth Proportional to 1,162.16, 1,743.69 and 512.44

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Solution

The fourth proportional to 1,162.16, 1,743.69 and 512.44 is: 768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.16 : 1,743.69 = 512.44 : x
  2. Step 2: Convert to fraction form
    1,162.16/1,743.69 = 512.44/x
  3. Step 3: Cross multiply
    1,162.16x = 1,743.69 × 512.44
  4. Step 4: Simplify right side
    1,162.16x = 893,534.07
  5. Step 5: Solve for x
    x = 893,534.07/1,162.16
  6. Step 6: Final answer
    x = 768.86

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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.