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Finding the Fourth Proportional to 1,142.82, 1,714.24 and 321.16

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Solution

The fourth proportional to 1,142.82, 1,714.24 and 321.16 is: 481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.82 : 1,714.24 = 321.16 : x
  2. Step 2: Convert to fraction form
    1,142.82/1,714.24 = 321.16/x
  3. Step 3: Cross multiply
    1,142.82x = 1,714.24 × 321.16
  4. Step 4: Simplify right side
    1,142.82x = 550,545.32
  5. Step 5: Solve for x
    x = 550,545.32/1,142.82
  6. Step 6: Final answer
    x = 481.74

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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.