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Finding the Fourth Proportional to 1,263.57, 1,750.49 and 1,233.33

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Solution

The fourth proportional to 1,263.57, 1,750.49 and 1,233.33 is: 1,708.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.57 : 1,750.49 = 1,233.33 : x
  2. Step 2: Convert to fraction form
    1,263.57/1,750.49 = 1,233.33/x
  3. Step 3: Cross multiply
    1,263.57x = 1,750.49 × 1,233.33
  4. Step 4: Simplify right side
    1,263.57x = 2,158,934.92
  5. Step 5: Solve for x
    x = 2,158,934.92/1,263.57
  6. Step 6: Final answer
    x = 1,708.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.