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Finding the Fourth Proportional to 1,292.73, 1,937.97 and 824.55

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Solution

The fourth proportional to 1,292.73, 1,937.97 and 824.55 is: 1,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.73 : 1,937.97 = 824.55 : x
  2. Step 2: Convert to fraction form
    1,292.73/1,937.97 = 824.55/x
  3. Step 3: Cross multiply
    1,292.73x = 1,937.97 × 824.55
  4. Step 4: Simplify right side
    1,292.73x = 1,597,953.16
  5. Step 5: Solve for x
    x = 1,597,953.16/1,292.73
  6. Step 6: Final answer
    x = 1,236.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.