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Finding the Fourth Proportional to 688, 1,032.14 and 201.02

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Solution

The fourth proportional to 688, 1,032.14 and 201.02 is: 301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    688 : 1,032.14 = 201.02 : x
  2. Step 2: Convert to fraction form
    688/1,032.14 = 201.02/x
  3. Step 3: Cross multiply
    688x = 1,032.14 × 201.02
  4. Step 4: Simplify right side
    688x = 207,480.78
  5. Step 5: Solve for x
    x = 207,480.78/688
  6. Step 6: Final answer
    x = 301.57

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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.