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Finding the Fourth Proportional to 682.65, 1,024.17 and 353.82

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Solution

The fourth proportional to 682.65, 1,024.17 and 353.82 is: 530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.65 : 1,024.17 = 353.82 : x
  2. Step 2: Convert to fraction form
    682.65/1,024.17 = 353.82/x
  3. Step 3: Cross multiply
    682.65x = 1,024.17 × 353.82
  4. Step 4: Simplify right side
    682.65x = 362,371.83
  5. Step 5: Solve for x
    x = 362,371.83/682.65
  6. Step 6: Final answer
    x = 530.83

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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.