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Finding the Fourth Proportional to 1,143.31, 1,714.67 and 321.64

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Solution

The fourth proportional to 1,143.31, 1,714.67 and 321.64 is: 482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.31 : 1,714.67 = 321.64 : x
  2. Step 2: Convert to fraction form
    1,143.31/1,714.67 = 321.64/x
  3. Step 3: Cross multiply
    1,143.31x = 1,714.67 × 321.64
  4. Step 4: Simplify right side
    1,143.31x = 551,506.46
  5. Step 5: Solve for x
    x = 551,506.46/1,143.31
  6. Step 6: Final answer
    x = 482.38

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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.