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Finding the Fourth Proportional to 1,255.65, 1,732.23 and 758.01

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Solution

The fourth proportional to 1,255.65, 1,732.23 and 758.01 is: 1,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.65 : 1,732.23 = 758.01 : x
  2. Step 2: Convert to fraction form
    1,255.65/1,732.23 = 758.01/x
  3. Step 3: Cross multiply
    1,255.65x = 1,732.23 × 758.01
  4. Step 4: Simplify right side
    1,255.65x = 1,313,047.66
  5. Step 5: Solve for x
    x = 1,313,047.66/1,255.65
  6. Step 6: Final answer
    x = 1,045.71

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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.