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Finding the Fourth Proportional to 936.47, 1,292.09 and 587.23

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Solution

The fourth proportional to 936.47, 1,292.09 and 587.23 is: 810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.47 : 1,292.09 = 587.23 : x
  2. Step 2: Convert to fraction form
    936.47/1,292.09 = 587.23/x
  3. Step 3: Cross multiply
    936.47x = 1,292.09 × 587.23
  4. Step 4: Simplify right side
    936.47x = 758,747.84
  5. Step 5: Solve for x
    x = 758,747.84/936.47
  6. Step 6: Final answer
    x = 810.22

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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.