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Finding the Fourth Proportional to 1,256.27, 1,733.09 and 751.84

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Solution

The fourth proportional to 1,256.27, 1,733.09 and 751.84 is: 1,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.27 : 1,733.09 = 751.84 : x
  2. Step 2: Convert to fraction form
    1,256.27/1,733.09 = 751.84/x
  3. Step 3: Cross multiply
    1,256.27x = 1,733.09 × 751.84
  4. Step 4: Simplify right side
    1,256.27x = 1,302,998.29
  5. Step 5: Solve for x
    x = 1,302,998.29/1,256.27
  6. Step 6: Final answer
    x = 1,037.20

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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.