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Finding the Fourth Proportional to 1,255.92, 1,733.40 and 923.52

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Solution

The fourth proportional to 1,255.92, 1,733.40 and 923.52 is: 1,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.92 : 1,733.40 = 923.52 : x
  2. Step 2: Convert to fraction form
    1,255.92/1,733.40 = 923.52/x
  3. Step 3: Cross multiply
    1,255.92x = 1,733.40 × 923.52
  4. Step 4: Simplify right side
    1,255.92x = 1,600,829.57
  5. Step 5: Solve for x
    x = 1,600,829.57/1,255.92
  6. Step 6: Final answer
    x = 1,274.63

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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.