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Finding the Fourth Proportional to 688.14, 1,032.37 and 201.17

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Solution

The fourth proportional to 688.14, 1,032.37 and 201.17 is: 301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.14 : 1,032.37 = 201.17 : x
  2. Step 2: Convert to fraction form
    688.14/1,032.37 = 201.17/x
  3. Step 3: Cross multiply
    688.14x = 1,032.37 × 201.17
  4. Step 4: Simplify right side
    688.14x = 207,681.87
  5. Step 5: Solve for x
    x = 207,681.87/688.14
  6. Step 6: Final answer
    x = 301.80

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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.