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Finding the Fourth Proportional to 688.05, 1,032.08 and 201.10

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Solution

The fourth proportional to 688.05, 1,032.08 and 201.10 is: 301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.05 : 1,032.08 = 201.10 : x
  2. Step 2: Convert to fraction form
    688.05/1,032.08 = 201.10/x
  3. Step 3: Cross multiply
    688.05x = 1,032.08 × 201.10
  4. Step 4: Simplify right side
    688.05x = 207,551.29
  5. Step 5: Solve for x
    x = 207,551.29/688.05
  6. Step 6: Final answer
    x = 301.65

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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.