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Finding the Fourth Proportional to 1,256.15, 1,733.81 and 759.13

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Solution

The fourth proportional to 1,256.15, 1,733.81 and 759.13 is: 1,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.15 : 1,733.81 = 759.13 : x
  2. Step 2: Convert to fraction form
    1,256.15/1,733.81 = 759.13/x
  3. Step 3: Cross multiply
    1,256.15x = 1,733.81 × 759.13
  4. Step 4: Simplify right side
    1,256.15x = 1,316,179.06
  5. Step 5: Solve for x
    x = 1,316,179.06/1,256.15
  6. Step 6: Final answer
    x = 1,047.79

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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.