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Finding the Fourth Proportional to 1,207.89, 1,812.96 and 688.41

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Solution

The fourth proportional to 1,207.89, 1,812.96 and 688.41 is: 1,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.89 : 1,812.96 = 688.41 : x
  2. Step 2: Convert to fraction form
    1,207.89/1,812.96 = 688.41/x
  3. Step 3: Cross multiply
    1,207.89x = 1,812.96 × 688.41
  4. Step 4: Simplify right side
    1,207.89x = 1,248,059.79
  5. Step 5: Solve for x
    x = 1,248,059.79/1,207.89
  6. Step 6: Final answer
    x = 1,033.26

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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.