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Finding the Fourth Proportional to 1,256.07, 1,732.95 and 758.82

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Solution

The fourth proportional to 1,256.07, 1,732.95 and 758.82 is: 1,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.07 : 1,732.95 = 758.82 : x
  2. Step 2: Convert to fraction form
    1,256.07/1,732.95 = 758.82/x
  3. Step 3: Cross multiply
    1,256.07x = 1,732.95 × 758.82
  4. Step 4: Simplify right side
    1,256.07x = 1,314,997.12
  5. Step 5: Solve for x
    x = 1,314,997.12/1,256.07
  6. Step 6: Final answer
    x = 1,046.91

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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.