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Finding the Fourth Proportional to 1,294.37, 1,786.34 and 735.02

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Solution

The fourth proportional to 1,294.37, 1,786.34 and 735.02 is: 1,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.37 : 1,786.34 = 735.02 : x
  2. Step 2: Convert to fraction form
    1,294.37/1,786.34 = 735.02/x
  3. Step 3: Cross multiply
    1,294.37x = 1,786.34 × 735.02
  4. Step 4: Simplify right side
    1,294.37x = 1,312,995.63
  5. Step 5: Solve for x
    x = 1,312,995.63/1,294.37
  6. Step 6: Final answer
    x = 1,014.39

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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.