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Finding the Fourth Proportional to 1,072.88, 1,609.64 and 688.40

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Solution

The fourth proportional to 1,072.88, 1,609.64 and 688.40 is: 1,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.88 : 1,609.64 = 688.40 : x
  2. Step 2: Convert to fraction form
    1,072.88/1,609.64 = 688.40/x
  3. Step 3: Cross multiply
    1,072.88x = 1,609.64 × 688.40
  4. Step 4: Simplify right side
    1,072.88x = 1,108,076.18
  5. Step 5: Solve for x
    x = 1,108,076.18/1,072.88
  6. Step 6: Final answer
    x = 1,032.81

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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.