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Finding the Fourth Proportional to 1,256.01, 1,733.30 and 758.67

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Solution

The fourth proportional to 1,256.01, 1,733.30 and 758.67 is: 1,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.01 : 1,733.30 = 758.67 : x
  2. Step 2: Convert to fraction form
    1,256.01/1,733.30 = 758.67/x
  3. Step 3: Cross multiply
    1,256.01x = 1,733.30 × 758.67
  4. Step 4: Simplify right side
    1,256.01x = 1,314,995.26
  5. Step 5: Solve for x
    x = 1,314,995.26/1,256.01
  6. Step 6: Final answer
    x = 1,046.97

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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.