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Finding the Fourth Proportional to 1,293.20, 1,940.09 and 562.89

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Solution

The fourth proportional to 1,293.20, 1,940.09 and 562.89 is: 844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.20 : 1,940.09 = 562.89 : x
  2. Step 2: Convert to fraction form
    1,293.20/1,940.09 = 562.89/x
  3. Step 3: Cross multiply
    1,293.20x = 1,940.09 × 562.89
  4. Step 4: Simplify right side
    1,293.20x = 1,092,057.26
  5. Step 5: Solve for x
    x = 1,092,057.26/1,293.20
  6. Step 6: Final answer
    x = 844.46

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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.