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Finding the Fourth Proportional to 937.94, 1,293.78 and 584.06

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Solution

The fourth proportional to 937.94, 1,293.78 and 584.06 is: 805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.94 : 1,293.78 = 584.06 : x
  2. Step 2: Convert to fraction form
    937.94/1,293.78 = 584.06/x
  3. Step 3: Cross multiply
    937.94x = 1,293.78 × 584.06
  4. Step 4: Simplify right side
    937.94x = 755,645.15
  5. Step 5: Solve for x
    x = 755,645.15/937.94
  6. Step 6: Final answer
    x = 805.64

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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.