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Finding the Fourth Proportional to 1,294.34, 1,786.50 and 797.30

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Solution

The fourth proportional to 1,294.34, 1,786.50 and 797.30 is: 1,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.34 : 1,786.50 = 797.30 : x
  2. Step 2: Convert to fraction form
    1,294.34/1,786.50 = 797.30/x
  3. Step 3: Cross multiply
    1,294.34x = 1,786.50 × 797.30
  4. Step 4: Simplify right side
    1,294.34x = 1,424,376.45
  5. Step 5: Solve for x
    x = 1,424,376.45/1,294.34
  6. Step 6: Final answer
    x = 1,100.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.