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Finding the Fourth Proportional to 936.04, 1,292.34 and 761.80

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Solution

The fourth proportional to 936.04, 1,292.34 and 761.80 is: 1,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.04 : 1,292.34 = 761.80 : x
  2. Step 2: Convert to fraction form
    936.04/1,292.34 = 761.80/x
  3. Step 3: Cross multiply
    936.04x = 1,292.34 × 761.80
  4. Step 4: Simplify right side
    936.04x = 984,504.61
  5. Step 5: Solve for x
    x = 984,504.61/936.04
  6. Step 6: Final answer
    x = 1,051.78

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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.