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Finding the Fourth Proportional to 937.44, 1,292.28 and 605.84

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Solution

The fourth proportional to 937.44, 1,292.28 and 605.84 is: 835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.44 : 1,292.28 = 605.84 : x
  2. Step 2: Convert to fraction form
    937.44/1,292.28 = 605.84/x
  3. Step 3: Cross multiply
    937.44x = 1,292.28 × 605.84
  4. Step 4: Simplify right side
    937.44x = 782,914.92
  5. Step 5: Solve for x
    x = 782,914.92/937.44
  6. Step 6: Final answer
    x = 835.16

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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.