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Finding the Fourth Proportional to 936.71, 1,292.57 and 543.76

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Solution

The fourth proportional to 936.71, 1,292.57 and 543.76 is: 750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.71 : 1,292.57 = 543.76 : x
  2. Step 2: Convert to fraction form
    936.71/1,292.57 = 543.76/x
  3. Step 3: Cross multiply
    936.71x = 1,292.57 × 543.76
  4. Step 4: Simplify right side
    936.71x = 702,847.86
  5. Step 5: Solve for x
    x = 702,847.86/936.71
  6. Step 6: Final answer
    x = 750.34

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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.