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Finding the Fourth Proportional to 688.54, 1,032.82 and 201.60

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Solution

The fourth proportional to 688.54, 1,032.82 and 201.60 is: 302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.54 : 1,032.82 = 201.60 : x
  2. Step 2: Convert to fraction form
    688.54/1,032.82 = 201.60/x
  3. Step 3: Cross multiply
    688.54x = 1,032.82 × 201.60
  4. Step 4: Simplify right side
    688.54x = 208,216.01
  5. Step 5: Solve for x
    x = 208,216.01/688.54
  6. Step 6: Final answer
    x = 302.40

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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.