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Finding the Fourth Proportional to 688.10, 1,032.82 and 323.14

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Solution

The fourth proportional to 688.10, 1,032.82 and 323.14 is: 485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.10 : 1,032.82 = 323.14 : x
  2. Step 2: Convert to fraction form
    688.10/1,032.82 = 323.14/x
  3. Step 3: Cross multiply
    688.10x = 1,032.82 × 323.14
  4. Step 4: Simplify right side
    688.10x = 333,745.45
  5. Step 5: Solve for x
    x = 333,745.45/688.10
  6. Step 6: Final answer
    x = 485.02

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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.