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Finding the Fourth Proportional to 688.41, 1,032.75 and 201.49

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Solution

The fourth proportional to 688.41, 1,032.75 and 201.49 is: 302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.41 : 1,032.75 = 201.49 : x
  2. Step 2: Convert to fraction form
    688.41/1,032.75 = 201.49/x
  3. Step 3: Cross multiply
    688.41x = 1,032.75 × 201.49
  4. Step 4: Simplify right side
    688.41x = 208,086.22
  5. Step 5: Solve for x
    x = 208,086.22/688.41
  6. Step 6: Final answer
    x = 302.27

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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.